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Finding the Fourth Proportional to 21,147.84, 29,182.88 and 11,714.88

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Solution

The fourth proportional to 21,147.84, 29,182.88 and 11,714.88 is: 16,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,147.84 : 29,182.88 = 11,714.88 : x
  2. Step 2: Convert to fraction form
    21,147.84/29,182.88 = 11,714.88/x
  3. Step 3: Cross multiply
    21,147.84x = 29,182.88 × 11,714.88
  4. Step 4: Simplify right side
    21,147.84x = 341,873,937.25
  5. Step 5: Solve for x
    x = 341,873,937.25/21,147.84
  6. Step 6: Final answer
    x = 16,165.90

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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.