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Finding the Fourth Proportional to 7,816.88, 11,725.92 and 5,761.10

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Solution

The fourth proportional to 7,816.88, 11,725.92 and 5,761.10 is: 8,642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.88 : 11,725.92 = 5,761.10 : x
  2. Step 2: Convert to fraction form
    7,816.88/11,725.92 = 5,761.10/x
  3. Step 3: Cross multiply
    7,816.88x = 11,725.92 × 5,761.10
  4. Step 4: Simplify right side
    7,816.88x = 67,554,197.71
  5. Step 5: Solve for x
    x = 67,554,197.71/7,816.88
  6. Step 6: Final answer
    x = 8,642.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.