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Finding the Fourth Proportional to 5,380.53, 8,071.10 and 1,917.78

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Solution

The fourth proportional to 5,380.53, 8,071.10 and 1,917.78 is: 2,876.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.53 : 8,071.10 = 1,917.78 : x
  2. Step 2: Convert to fraction form
    5,380.53/8,071.10 = 1,917.78/x
  3. Step 3: Cross multiply
    5,380.53x = 8,071.10 × 1,917.78
  4. Step 4: Simplify right side
    5,380.53x = 15,478,594.16
  5. Step 5: Solve for x
    x = 15,478,594.16/5,380.53
  6. Step 6: Final answer
    x = 2,876.78

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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.