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Finding the Fourth Proportional to 21,575.34, 29,767.01 and 12,142.08

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Solution

The fourth proportional to 21,575.34, 29,767.01 and 12,142.08 is: 16,752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,575.34 : 29,767.01 = 12,142.08 : x
  2. Step 2: Convert to fraction form
    21,575.34/29,767.01 = 12,142.08/x
  3. Step 3: Cross multiply
    21,575.34x = 29,767.01 × 12,142.08
  4. Step 4: Simplify right side
    21,575.34x = 361,433,416.78
  5. Step 5: Solve for x
    x = 361,433,416.78/21,575.34
  6. Step 6: Final answer
    x = 16,752.15

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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.