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Finding the Fourth Proportional to 8,312.49, 12,468.51 and 2,468.61

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Solution

The fourth proportional to 8,312.49, 12,468.51 and 2,468.61 is: 3,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.49 : 12,468.51 = 2,468.61 : x
  2. Step 2: Convert to fraction form
    8,312.49/12,468.51 = 2,468.61/x
  3. Step 3: Cross multiply
    8,312.49x = 12,468.51 × 2,468.61
  4. Step 4: Simplify right side
    8,312.49x = 30,779,888.47
  5. Step 5: Solve for x
    x = 30,779,888.47/8,312.49
  6. Step 6: Final answer
    x = 3,702.85

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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.