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Finding the Fourth Proportional to 14,759.84, 20,368.96 and 8,471.76

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Solution

The fourth proportional to 14,759.84, 20,368.96 and 8,471.76 is: 11,691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,759.84 : 20,368.96 = 8,471.76 : x
  2. Step 2: Convert to fraction form
    14,759.84/20,368.96 = 8,471.76/x
  3. Step 3: Cross multiply
    14,759.84x = 20,368.96 × 8,471.76
  4. Step 4: Simplify right side
    14,759.84x = 172,560,940.57
  5. Step 5: Solve for x
    x = 172,560,940.57/14,759.84
  6. Step 6: Final answer
    x = 11,691.25

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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.