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Finding the Fourth Proportional to 21,423, 32,147.80 and 10,330.82

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Solution

The fourth proportional to 21,423, 32,147.80 and 10,330.82 is: 15,502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423 : 32,147.80 = 10,330.82 : x
  2. Step 2: Convert to fraction form
    21,423/32,147.80 = 10,330.82/x
  3. Step 3: Cross multiply
    21,423x = 32,147.80 × 10,330.82
  4. Step 4: Simplify right side
    21,423x = 332,113,135.20
  5. Step 5: Solve for x
    x = 332,113,135.20/21,423
  6. Step 6: Final answer
    x = 15,502.64

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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.