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Finding the Fourth Proportional to 8,402.96, 12,606.24 and 2,560.04

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Solution

The fourth proportional to 8,402.96, 12,606.24 and 2,560.04 is: 3,840.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.96 : 12,606.24 = 2,560.04 : x
  2. Step 2: Convert to fraction form
    8,402.96/12,606.24 = 2,560.04/x
  3. Step 3: Cross multiply
    8,402.96x = 12,606.24 × 2,560.04
  4. Step 4: Simplify right side
    8,402.96x = 32,272,478.65
  5. Step 5: Solve for x
    x = 32,272,478.65/8,402.96
  6. Step 6: Final answer
    x = 3,840.61

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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.