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Finding the Fourth Proportional to 21,658.68, 32,488.02 and 5,242.68

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Solution

The fourth proportional to 21,658.68, 32,488.02 and 5,242.68 is: 7,864.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.68 : 32,488.02 = 5,242.68 : x
  2. Step 2: Convert to fraction form
    21,658.68/32,488.02 = 5,242.68/x
  3. Step 3: Cross multiply
    21,658.68x = 32,488.02 × 5,242.68
  4. Step 4: Simplify right side
    21,658.68x = 170,324,292.69
  5. Step 5: Solve for x
    x = 170,324,292.69/21,658.68
  6. Step 6: Final answer
    x = 7,864.02

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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.