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Finding the Fourth Proportional to 3,712.66, 5,565.91 and 1,956.69

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Solution

The fourth proportional to 3,712.66, 5,565.91 and 1,956.69 is: 2,933.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.66 : 5,565.91 = 1,956.69 : x
  2. Step 2: Convert to fraction form
    3,712.66/5,565.91 = 1,956.69/x
  3. Step 3: Cross multiply
    3,712.66x = 5,565.91 × 1,956.69
  4. Step 4: Simplify right side
    3,712.66x = 10,890,732.61
  5. Step 5: Solve for x
    x = 10,890,732.61/3,712.66
  6. Step 6: Final answer
    x = 2,933.40

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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.