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Finding the Fourth Proportional to 17,780.64, 24,540.30 and 13,524.88

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Solution

The fourth proportional to 17,780.64, 24,540.30 and 13,524.88 is: 18,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780.64 : 24,540.30 = 13,524.88 : x
  2. Step 2: Convert to fraction form
    17,780.64/24,540.30 = 13,524.88/x
  3. Step 3: Cross multiply
    17,780.64x = 24,540.30 × 13,524.88
  4. Step 4: Simplify right side
    17,780.64x = 331,904,612.66
  5. Step 5: Solve for x
    x = 331,904,612.66/17,780.64
  6. Step 6: Final answer
    x = 18,666.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.