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Finding the Fourth Proportional to 8,302.47, 12,433.47 and 5,489.60

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Solution

The fourth proportional to 8,302.47, 12,433.47 and 5,489.60 is: 8,221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.47 : 12,433.47 = 5,489.60 : x
  2. Step 2: Convert to fraction form
    8,302.47/12,433.47 = 5,489.60/x
  3. Step 3: Cross multiply
    8,302.47x = 12,433.47 × 5,489.60
  4. Step 4: Simplify right side
    8,302.47x = 68,254,775.45
  5. Step 5: Solve for x
    x = 68,254,775.45/8,302.47
  6. Step 6: Final answer
    x = 8,221.02

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1.5x scale

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.