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Finding the Fourth Proportional to 21,008.70, 31,513.05 and 9,323.10

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Solution

The fourth proportional to 21,008.70, 31,513.05 and 9,323.10 is: 13,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,008.70 : 31,513.05 = 9,323.10 : x
  2. Step 2: Convert to fraction form
    21,008.70/31,513.05 = 9,323.10/x
  3. Step 3: Cross multiply
    21,008.70x = 31,513.05 × 9,323.10
  4. Step 4: Simplify right side
    21,008.70x = 293,799,316.46
  5. Step 5: Solve for x
    x = 293,799,316.46/21,008.70
  6. Step 6: Final answer
    x = 13,984.65

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.