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Finding the Fourth Proportional to 19,681.66, 27,160.32 and 10,729

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Solution

The fourth proportional to 19,681.66, 27,160.32 and 10,729 is: 14,805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,681.66 : 27,160.32 = 10,729 : x
  2. Step 2: Convert to fraction form
    19,681.66/27,160.32 = 10,729/x
  3. Step 3: Cross multiply
    19,681.66x = 27,160.32 × 10,729
  4. Step 4: Simplify right side
    19,681.66x = 291,403,073.28
  5. Step 5: Solve for x
    x = 291,403,073.28/19,681.66
  6. Step 6: Final answer
    x = 14,805.82

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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.