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Finding the Fourth Proportional to 5,489.73, 8,242.80 and 5,407.72

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Solution

The fourth proportional to 5,489.73, 8,242.80 and 5,407.72 is: 8,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.73 : 8,242.80 = 5,407.72 : x
  2. Step 2: Convert to fraction form
    5,489.73/8,242.80 = 5,407.72/x
  3. Step 3: Cross multiply
    5,489.73x = 8,242.80 × 5,407.72
  4. Step 4: Simplify right side
    5,489.73x = 44,574,713.53
  5. Step 5: Solve for x
    x = 44,574,713.53/5,489.73
  6. Step 6: Final answer
    x = 8,119.65

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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.