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Finding the Fourth Proportional to 15,874.42, 23,818.12 and 8,761.54

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Solution

The fourth proportional to 15,874.42, 23,818.12 and 8,761.54 is: 13,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.42 : 23,818.12 = 8,761.54 : x
  2. Step 2: Convert to fraction form
    15,874.42/23,818.12 = 8,761.54/x
  3. Step 3: Cross multiply
    15,874.42x = 23,818.12 × 8,761.54
  4. Step 4: Simplify right side
    15,874.42x = 208,683,411.10
  5. Step 5: Solve for x
    x = 208,683,411.10/15,874.42
  6. Step 6: Final answer
    x = 13,145.89

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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.