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Finding the Fourth Proportional to 7,115.30, 9,976 and 7,115.30

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Solution

The fourth proportional to 7,115.30, 9,976 and 7,115.30 is: 9,976

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.30 : 9,976 = 7,115.30 : x
  2. Step 2: Convert to fraction form
    7,115.30/9,976 = 7,115.30/x
  3. Step 3: Cross multiply
    7,115.30x = 9,976 × 7,115.30
  4. Step 4: Simplify right side
    7,115.30x = 70,982,232.80
  5. Step 5: Solve for x
    x = 70,982,232.80/7,115.30
  6. Step 6: Final answer
    x = 9,976

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.