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Finding the Fourth Proportional to 8,582, 12,872.64 and 3,319.52

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Solution

The fourth proportional to 8,582, 12,872.64 and 3,319.52 is: 4,979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582 : 12,872.64 = 3,319.52 : x
  2. Step 2: Convert to fraction form
    8,582/12,872.64 = 3,319.52/x
  3. Step 3: Cross multiply
    8,582x = 12,872.64 × 3,319.52
  4. Step 4: Simplify right side
    8,582x = 42,730,985.93
  5. Step 5: Solve for x
    x = 42,730,985.93/8,582
  6. Step 6: Final answer
    x = 4,979.14

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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.