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Finding the Fourth Proportional to 21,494.71, 32,174.48 and 13,569.80

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Solution

The fourth proportional to 21,494.71, 32,174.48 and 13,569.80 is: 20,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494.71 : 32,174.48 = 13,569.80 : x
  2. Step 2: Convert to fraction form
    21,494.71/32,174.48 = 13,569.80/x
  3. Step 3: Cross multiply
    21,494.71x = 32,174.48 × 13,569.80
  4. Step 4: Simplify right side
    21,494.71x = 436,601,029.98
  5. Step 5: Solve for x
    x = 436,601,029.98/21,494.71
  6. Step 6: Final answer
    x = 20,312.02

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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.