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Finding the Fourth Proportional to 7,758.31, 10,712.92 and 7,195.50

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Solution

The fourth proportional to 7,758.31, 10,712.92 and 7,195.50 is: 9,935.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.31 : 10,712.92 = 7,195.50 : x
  2. Step 2: Convert to fraction form
    7,758.31/10,712.92 = 7,195.50/x
  3. Step 3: Cross multiply
    7,758.31x = 10,712.92 × 7,195.50
  4. Step 4: Simplify right side
    7,758.31x = 77,084,815.86
  5. Step 5: Solve for x
    x = 77,084,815.86/7,758.31
  6. Step 6: Final answer
    x = 9,935.77

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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.