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Finding the Fourth Proportional to 27,003.40, 40,505.10 and 16,505.80

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Solution

The fourth proportional to 27,003.40, 40,505.10 and 16,505.80 is: 24,758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,003.40 : 40,505.10 = 16,505.80 : x
  2. Step 2: Convert to fraction form
    27,003.40/40,505.10 = 16,505.80/x
  3. Step 3: Cross multiply
    27,003.40x = 40,505.10 × 16,505.80
  4. Step 4: Simplify right side
    27,003.40x = 668,569,079.58
  5. Step 5: Solve for x
    x = 668,569,079.58/27,003.40
  6. Step 6: Final answer
    x = 24,758.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.