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Finding the Fourth Proportional to 15,711.84, 21,681.54 and 8,997.12

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Solution

The fourth proportional to 15,711.84, 21,681.54 and 8,997.12 is: 12,415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.84 : 21,681.54 = 8,997.12 : x
  2. Step 2: Convert to fraction form
    15,711.84/21,681.54 = 8,997.12/x
  3. Step 3: Cross multiply
    15,711.84x = 21,681.54 × 8,997.12
  4. Step 4: Simplify right side
    15,711.84x = 195,071,417.16
  5. Step 5: Solve for x
    x = 195,071,417.16/15,711.84
  6. Step 6: Final answer
    x = 12,415.57

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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.