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Finding the Fourth Proportional to 9,011.76, 12,430.08 and 7,830.78

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Solution

The fourth proportional to 9,011.76, 12,430.08 and 7,830.78 is: 10,801.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011.76 : 12,430.08 = 7,830.78 : x
  2. Step 2: Convert to fraction form
    9,011.76/12,430.08 = 7,830.78/x
  3. Step 3: Cross multiply
    9,011.76x = 12,430.08 × 7,830.78
  4. Step 4: Simplify right side
    9,011.76x = 97,337,221.86
  5. Step 5: Solve for x
    x = 97,337,221.86/9,011.76
  6. Step 6: Final answer
    x = 10,801.13

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.