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Finding the Fourth Proportional to 7,951.97, 10,978.67 and 6,156.20

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Solution

The fourth proportional to 7,951.97, 10,978.67 and 6,156.20 is: 8,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.97 : 10,978.67 = 6,156.20 : x
  2. Step 2: Convert to fraction form
    7,951.97/10,978.67 = 6,156.20/x
  3. Step 3: Cross multiply
    7,951.97x = 10,978.67 × 6,156.20
  4. Step 4: Simplify right side
    7,951.97x = 67,586,888.25
  5. Step 5: Solve for x
    x = 67,586,888.25/7,951.97
  6. Step 6: Final answer
    x = 8,499.39

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1.5x scale

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.