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Finding the Fourth Proportional to 21,103.01, 29,131.12 and 13,149.16

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Solution

The fourth proportional to 21,103.01, 29,131.12 and 13,149.16 is: 18,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,103.01 : 29,131.12 = 13,149.16 : x
  2. Step 2: Convert to fraction form
    21,103.01/29,131.12 = 13,149.16/x
  3. Step 3: Cross multiply
    21,103.01x = 29,131.12 × 13,149.16
  4. Step 4: Simplify right side
    21,103.01x = 383,049,692.11
  5. Step 5: Solve for x
    x = 383,049,692.11/21,103.01
  6. Step 6: Final answer
    x = 18,151.43

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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.