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Finding the Fourth Proportional to 21,658.17, 32,491.84 and 6,865.14

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Solution

The fourth proportional to 21,658.17, 32,491.84 and 6,865.14 is: 10,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.17 : 32,491.84 = 6,865.14 : x
  2. Step 2: Convert to fraction form
    21,658.17/32,491.84 = 6,865.14/x
  3. Step 3: Cross multiply
    21,658.17x = 32,491.84 × 6,865.14
  4. Step 4: Simplify right side
    21,658.17x = 223,061,030.46
  5. Step 5: Solve for x
    x = 223,061,030.46/21,658.17
  6. Step 6: Final answer
    x = 10,299.16

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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.