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Finding the Fourth Proportional to 8,713.50, 13,072.42 and 2,557.50

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Solution

The fourth proportional to 8,713.50, 13,072.42 and 2,557.50 is: 3,836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.50 : 13,072.42 = 2,557.50 : x
  2. Step 2: Convert to fraction form
    8,713.50/13,072.42 = 2,557.50/x
  3. Step 3: Cross multiply
    8,713.50x = 13,072.42 × 2,557.50
  4. Step 4: Simplify right side
    8,713.50x = 33,432,714.15
  5. Step 5: Solve for x
    x = 33,432,714.15/8,713.50
  6. Step 6: Final answer
    x = 3,836.89

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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.