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Finding the Fourth Proportional to 7,658.80, 11,411.16 and 7,155.84

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Solution

The fourth proportional to 7,658.80, 11,411.16 and 7,155.84 is: 10,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.80 : 11,411.16 = 7,155.84 : x
  2. Step 2: Convert to fraction form
    7,658.80/11,411.16 = 7,155.84/x
  3. Step 3: Cross multiply
    7,658.80x = 11,411.16 × 7,155.84
  4. Step 4: Simplify right side
    7,658.80x = 81,656,435.17
  5. Step 5: Solve for x
    x = 81,656,435.17/7,658.80
  6. Step 6: Final answer
    x = 10,661.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.