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Finding the Fourth Proportional to 28,176.64, 42,272 and 8,455.56

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Solution

The fourth proportional to 28,176.64, 42,272 and 8,455.56 is: 12,685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,176.64 : 42,272 = 8,455.56 : x
  2. Step 2: Convert to fraction form
    28,176.64/42,272 = 8,455.56/x
  3. Step 3: Cross multiply
    28,176.64x = 42,272 × 8,455.56
  4. Step 4: Simplify right side
    28,176.64x = 357,433,432.32
  5. Step 5: Solve for x
    x = 357,433,432.32/28,176.64
  6. Step 6: Final answer
    x = 12,685.45

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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.