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Finding the Fourth Proportional to 15,705.83, 21,681.47 and 9,966.17

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Solution

The fourth proportional to 15,705.83, 21,681.47 and 9,966.17 is: 13,758.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.83 : 21,681.47 = 9,966.17 : x
  2. Step 2: Convert to fraction form
    15,705.83/21,681.47 = 9,966.17/x
  3. Step 3: Cross multiply
    15,705.83x = 21,681.47 × 9,966.17
  4. Step 4: Simplify right side
    15,705.83x = 216,081,294.99
  5. Step 5: Solve for x
    x = 216,081,294.99/15,705.83
  6. Step 6: Final answer
    x = 13,758.03

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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.