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Finding the Fourth Proportional to 6,478, 8,939.64 and 3,534

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Solution

The fourth proportional to 6,478, 8,939.64 and 3,534 is: 4,876.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478 : 8,939.64 = 3,534 : x
  2. Step 2: Convert to fraction form
    6,478/8,939.64 = 3,534/x
  3. Step 3: Cross multiply
    6,478x = 8,939.64 × 3,534
  4. Step 4: Simplify right side
    6,478x = 31,592,687.76
  5. Step 5: Solve for x
    x = 31,592,687.76/6,478
  6. Step 6: Final answer
    x = 4,876.92

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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.