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Finding the Fourth Proportional to 8,437.61, 12,661.44 and 3,757.90

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Solution

The fourth proportional to 8,437.61, 12,661.44 and 3,757.90 is: 5,639.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.61 : 12,661.44 = 3,757.90 : x
  2. Step 2: Convert to fraction form
    8,437.61/12,661.44 = 3,757.90/x
  3. Step 3: Cross multiply
    8,437.61x = 12,661.44 × 3,757.90
  4. Step 4: Simplify right side
    8,437.61x = 47,580,343.28
  5. Step 5: Solve for x
    x = 47,580,343.28/8,437.61
  6. Step 6: Final answer
    x = 5,639.08

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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.