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Finding the Fourth Proportional to 8,432, 12,651.36 and 4,269.76

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Solution

The fourth proportional to 8,432, 12,651.36 and 4,269.76 is: 6,406.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432 : 12,651.36 = 4,269.76 : x
  2. Step 2: Convert to fraction form
    8,432/12,651.36 = 4,269.76/x
  3. Step 3: Cross multiply
    8,432x = 12,651.36 × 4,269.76
  4. Step 4: Simplify right side
    8,432x = 54,018,270.87
  5. Step 5: Solve for x
    x = 54,018,270.87/8,432
  6. Step 6: Final answer
    x = 6,406.34

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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.