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Finding the Fourth Proportional to 7,658.65, 11,488.02 and 2,728.48

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Solution

The fourth proportional to 7,658.65, 11,488.02 and 2,728.48 is: 4,092.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.65 : 11,488.02 = 2,728.48 : x
  2. Step 2: Convert to fraction form
    7,658.65/11,488.02 = 2,728.48/x
  3. Step 3: Cross multiply
    7,658.65x = 11,488.02 × 2,728.48
  4. Step 4: Simplify right side
    7,658.65x = 31,344,832.81
  5. Step 5: Solve for x
    x = 31,344,832.81/7,658.65
  6. Step 6: Final answer
    x = 4,092.74

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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.