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Finding the Fourth Proportional to 8,530.32, 12,787.20 and 4,148.64

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Solution

The fourth proportional to 8,530.32, 12,787.20 and 4,148.64 is: 6,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.32 : 12,787.20 = 4,148.64 : x
  2. Step 2: Convert to fraction form
    8,530.32/12,787.20 = 4,148.64/x
  3. Step 3: Cross multiply
    8,530.32x = 12,787.20 × 4,148.64
  4. Step 4: Simplify right side
    8,530.32x = 53,049,489.41
  5. Step 5: Solve for x
    x = 53,049,489.41/8,530.32
  6. Step 6: Final answer
    x = 6,218.93

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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.