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Finding the Fourth Proportional to 15,711.78, 21,682.15 and 8,905.76

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Solution

The fourth proportional to 15,711.78, 21,682.15 and 8,905.76 is: 12,289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.78 : 21,682.15 = 8,905.76 : x
  2. Step 2: Convert to fraction form
    15,711.78/21,682.15 = 8,905.76/x
  3. Step 3: Cross multiply
    15,711.78x = 21,682.15 × 8,905.76
  4. Step 4: Simplify right side
    15,711.78x = 193,096,024.18
  5. Step 5: Solve for x
    x = 193,096,024.18/15,711.78
  6. Step 6: Final answer
    x = 12,289.89

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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.