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Finding the Fourth Proportional to 21,407.04, 32,099 and 9,713.88

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Solution

The fourth proportional to 21,407.04, 32,099 and 9,713.88 is: 14,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.04 : 32,099 = 9,713.88 : x
  2. Step 2: Convert to fraction form
    21,407.04/32,099 = 9,713.88/x
  3. Step 3: Cross multiply
    21,407.04x = 32,099 × 9,713.88
  4. Step 4: Simplify right side
    21,407.04x = 311,805,834.12
  5. Step 5: Solve for x
    x = 311,805,834.12/21,407.04
  6. Step 6: Final answer
    x = 14,565.57

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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.