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Finding the Fourth Proportional to 2,376.40, 3,565.19 and 816.43

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Solution

The fourth proportional to 2,376.40, 3,565.19 and 816.43 is: 1,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.40 : 3,565.19 = 816.43 : x
  2. Step 2: Convert to fraction form
    2,376.40/3,565.19 = 816.43/x
  3. Step 3: Cross multiply
    2,376.40x = 3,565.19 × 816.43
  4. Step 4: Simplify right side
    2,376.40x = 2,910,729.38
  5. Step 5: Solve for x
    x = 2,910,729.38/2,376.40
  6. Step 6: Final answer
    x = 1,224.85

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Why These Related Problems?

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