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Finding the Fourth Proportional to 7,874.66, 10,789.92 and 7,758.02

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Solution

The fourth proportional to 7,874.66, 10,789.92 and 7,758.02 is: 10,630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.66 : 10,789.92 = 7,758.02 : x
  2. Step 2: Convert to fraction form
    7,874.66/10,789.92 = 7,758.02/x
  3. Step 3: Cross multiply
    7,874.66x = 10,789.92 × 7,758.02
  4. Step 4: Simplify right side
    7,874.66x = 83,708,415.16
  5. Step 5: Solve for x
    x = 83,708,415.16/7,874.66
  6. Step 6: Final answer
    x = 10,630.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.