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Finding the Fourth Proportional to 14,570, 20,105.88 and 8,282

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Solution

The fourth proportional to 14,570, 20,105.88 and 8,282 is: 11,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570 : 20,105.88 = 8,282 : x
  2. Step 2: Convert to fraction form
    14,570/20,105.88 = 8,282/x
  3. Step 3: Cross multiply
    14,570x = 20,105.88 × 8,282
  4. Step 4: Simplify right side
    14,570x = 166,516,898.16
  5. Step 5: Solve for x
    x = 166,516,898.16/14,570
  6. Step 6: Final answer
    x = 11,428.75

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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.