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Finding the Fourth Proportional to 9,289.76, 12,812.42 and 7,496.76

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Solution

The fourth proportional to 9,289.76, 12,812.42 and 7,496.76 is: 10,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.76 : 12,812.42 = 7,496.76 : x
  2. Step 2: Convert to fraction form
    9,289.76/12,812.42 = 7,496.76/x
  3. Step 3: Cross multiply
    9,289.76x = 12,812.42 × 7,496.76
  4. Step 4: Simplify right side
    9,289.76x = 96,051,600.28
  5. Step 5: Solve for x
    x = 96,051,600.28/9,289.76
  6. Step 6: Final answer
    x = 10,339.52

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Half scale
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Double scale
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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.