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Finding the Fourth Proportional to 12,778.62, 17,640.86 and 9,900.89

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Solution

The fourth proportional to 12,778.62, 17,640.86 and 9,900.89 is: 13,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.62 : 17,640.86 = 9,900.89 : x
  2. Step 2: Convert to fraction form
    12,778.62/17,640.86 = 9,900.89/x
  3. Step 3: Cross multiply
    12,778.62x = 17,640.86 × 9,900.89
  4. Step 4: Simplify right side
    12,778.62x = 174,660,164.86
  5. Step 5: Solve for x
    x = 174,660,164.86/12,778.62
  6. Step 6: Final answer
    x = 13,668.16

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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.