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Finding the Fourth Proportional to 2,376.92, 3,565.39 and 989.39

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Solution

The fourth proportional to 2,376.92, 3,565.39 and 989.39 is: 1,484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.92 : 3,565.39 = 989.39 : x
  2. Step 2: Convert to fraction form
    2,376.92/3,565.39 = 989.39/x
  3. Step 3: Cross multiply
    2,376.92x = 3,565.39 × 989.39
  4. Step 4: Simplify right side
    2,376.92x = 3,527,561.21
  5. Step 5: Solve for x
    x = 3,527,561.21/2,376.92
  6. Step 6: Final answer
    x = 1,484.09

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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.