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Finding the Fourth Proportional to 14,340, 21,502.08 and 9,659.76

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Solution

The fourth proportional to 14,340, 21,502.08 and 9,659.76 is: 14,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340 : 21,502.08 = 9,659.76 : x
  2. Step 2: Convert to fraction form
    14,340/21,502.08 = 9,659.76/x
  3. Step 3: Cross multiply
    14,340x = 21,502.08 × 9,659.76
  4. Step 4: Simplify right side
    14,340x = 207,704,932.30
  5. Step 5: Solve for x
    x = 207,704,932.30/14,340
  6. Step 6: Final answer
    x = 14,484.30

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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.