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Finding the Fourth Proportional to 8,284.96, 12,402.76 and 5,502

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Solution

The fourth proportional to 8,284.96, 12,402.76 and 5,502 is: 8,236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.96 : 12,402.76 = 5,502 : x
  2. Step 2: Convert to fraction form
    8,284.96/12,402.76 = 5,502/x
  3. Step 3: Cross multiply
    8,284.96x = 12,402.76 × 5,502
  4. Step 4: Simplify right side
    8,284.96x = 68,239,985.52
  5. Step 5: Solve for x
    x = 68,239,985.52/8,284.96
  6. Step 6: Final answer
    x = 8,236.61

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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.