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Finding the Fourth Proportional to 21,418, 29,575.08 and 13,473.52

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Solution

The fourth proportional to 21,418, 29,575.08 and 13,473.52 is: 18,604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,418 : 29,575.08 = 13,473.52 : x
  2. Step 2: Convert to fraction form
    21,418/29,575.08 = 13,473.52/x
  3. Step 3: Cross multiply
    21,418x = 29,575.08 × 13,473.52
  4. Step 4: Simplify right side
    21,418x = 398,480,431.88
  5. Step 5: Solve for x
    x = 398,480,431.88/21,418
  6. Step 6: Final answer
    x = 18,604.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.