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Finding the Fourth Proportional to 2,377.42, 3,565.88 and 989.88

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Solution

The fourth proportional to 2,377.42, 3,565.88 and 989.88 is: 1,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.42 : 3,565.88 = 989.88 : x
  2. Step 2: Convert to fraction form
    2,377.42/3,565.88 = 989.88/x
  3. Step 3: Cross multiply
    2,377.42x = 3,565.88 × 989.88
  4. Step 4: Simplify right side
    2,377.42x = 3,529,793.29
  5. Step 5: Solve for x
    x = 3,529,793.29/2,377.42
  6. Step 6: Final answer
    x = 1,484.72

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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.