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Finding the Fourth Proportional to 8,438, 12,655.62 and 3,756.86

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Solution

The fourth proportional to 8,438, 12,655.62 and 3,756.86 is: 5,634.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438 : 12,655.62 = 3,756.86 : x
  2. Step 2: Convert to fraction form
    8,438/12,655.62 = 3,756.86/x
  3. Step 3: Cross multiply
    8,438x = 12,655.62 × 3,756.86
  4. Step 4: Simplify right side
    8,438x = 47,545,392.55
  5. Step 5: Solve for x
    x = 47,545,392.55/8,438
  6. Step 6: Final answer
    x = 5,634.68

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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.