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Finding the Fourth Proportional to 2,376.90, 3,565.35 and 621.90

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Solution

The fourth proportional to 2,376.90, 3,565.35 and 621.90 is: 932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.90 : 3,565.35 = 621.90 : x
  2. Step 2: Convert to fraction form
    2,376.90/3,565.35 = 621.90/x
  3. Step 3: Cross multiply
    2,376.90x = 3,565.35 × 621.90
  4. Step 4: Simplify right side
    2,376.90x = 2,217,291.17
  5. Step 5: Solve for x
    x = 2,217,291.17/2,376.90
  6. Step 6: Final answer
    x = 932.85

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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.