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Finding the Fourth Proportional to 7,158.13, 9,876.64 and 6,922.15

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Solution

The fourth proportional to 7,158.13, 9,876.64 and 6,922.15 is: 9,551.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.13 : 9,876.64 = 6,922.15 : x
  2. Step 2: Convert to fraction form
    7,158.13/9,876.64 = 6,922.15/x
  3. Step 3: Cross multiply
    7,158.13x = 9,876.64 × 6,922.15
  4. Step 4: Simplify right side
    7,158.13x = 68,367,499.58
  5. Step 5: Solve for x
    x = 68,367,499.58/7,158.13
  6. Step 6: Final answer
    x = 9,551.03

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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.