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Finding the Fourth Proportional to 3,904.71, 5,856.71 and 1,439.88

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Solution

The fourth proportional to 3,904.71, 5,856.71 and 1,439.88 is: 2,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.71 : 5,856.71 = 1,439.88 : x
  2. Step 2: Convert to fraction form
    3,904.71/5,856.71 = 1,439.88/x
  3. Step 3: Cross multiply
    3,904.71x = 5,856.71 × 1,439.88
  4. Step 4: Simplify right side
    3,904.71x = 8,432,930.43
  5. Step 5: Solve for x
    x = 8,432,930.43/3,904.71
  6. Step 6: Final answer
    x = 2,159.68

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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.