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Finding the Fourth Proportional to 6,471.88, 8,931.26 and 5,057.20

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Solution

The fourth proportional to 6,471.88, 8,931.26 and 5,057.20 is: 6,978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.88 : 8,931.26 = 5,057.20 : x
  2. Step 2: Convert to fraction form
    6,471.88/8,931.26 = 5,057.20/x
  3. Step 3: Cross multiply
    6,471.88x = 8,931.26 × 5,057.20
  4. Step 4: Simplify right side
    6,471.88x = 45,167,168.07
  5. Step 5: Solve for x
    x = 45,167,168.07/6,471.88
  6. Step 6: Final answer
    x = 6,978.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.