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Finding the Fourth Proportional to 8,272.92, 12,409.90 and 2,429

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Solution

The fourth proportional to 8,272.92, 12,409.90 and 2,429 is: 3,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.92 : 12,409.90 = 2,429 : x
  2. Step 2: Convert to fraction form
    8,272.92/12,409.90 = 2,429/x
  3. Step 3: Cross multiply
    8,272.92x = 12,409.90 × 2,429
  4. Step 4: Simplify right side
    8,272.92x = 30,143,647.10
  5. Step 5: Solve for x
    x = 30,143,647.10/8,272.92
  6. Step 6: Final answer
    x = 3,643.65

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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.