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Finding the Fourth Proportional to 19,717.71, 27,209.70 and 10,765.14

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Solution

The fourth proportional to 19,717.71, 27,209.70 and 10,765.14 is: 14,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,717.71 : 27,209.70 = 10,765.14 : x
  2. Step 2: Convert to fraction form
    19,717.71/27,209.70 = 10,765.14/x
  3. Step 3: Cross multiply
    19,717.71x = 27,209.70 × 10,765.14
  4. Step 4: Simplify right side
    19,717.71x = 292,916,229.86
  5. Step 5: Solve for x
    x = 292,916,229.86/19,717.71
  6. Step 6: Final answer
    x = 14,855.49

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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.