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Finding the Fourth Proportional to 14,772.84, 20,385.47 and 8,313.42

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Solution

The fourth proportional to 14,772.84, 20,385.47 and 8,313.42 is: 11,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772.84 : 20,385.47 = 8,313.42 : x
  2. Step 2: Convert to fraction form
    14,772.84/20,385.47 = 8,313.42/x
  3. Step 3: Cross multiply
    14,772.84x = 20,385.47 × 8,313.42
  4. Step 4: Simplify right side
    14,772.84x = 169,472,974.01
  5. Step 5: Solve for x
    x = 169,472,974.01/14,772.84
  6. Step 6: Final answer
    x = 11,471.93

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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.