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Finding the Fourth Proportional to 21,564.98, 29,759.01 and 12,132.98

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Solution

The fourth proportional to 21,564.98, 29,759.01 and 12,132.98 is: 16,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564.98 : 29,759.01 = 12,132.98 : x
  2. Step 2: Convert to fraction form
    21,564.98/29,759.01 = 12,132.98/x
  3. Step 3: Cross multiply
    21,564.98x = 29,759.01 × 12,132.98
  4. Step 4: Simplify right side
    21,564.98x = 361,065,473.15
  5. Step 5: Solve for x
    x = 361,065,473.15/21,564.98
  6. Step 6: Final answer
    x = 16,743.14

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1.5x scale

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.