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Finding the Fourth Proportional to 4,257.78, 6,386.70 and 4,071.90

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Solution

The fourth proportional to 4,257.78, 6,386.70 and 4,071.90 is: 6,107.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.78 : 6,386.70 = 4,071.90 : x
  2. Step 2: Convert to fraction form
    4,257.78/6,386.70 = 4,071.90/x
  3. Step 3: Cross multiply
    4,257.78x = 6,386.70 × 4,071.90
  4. Step 4: Simplify right side
    4,257.78x = 26,006,003.73
  5. Step 5: Solve for x
    x = 26,006,003.73/4,257.78
  6. Step 6: Final answer
    x = 6,107.88

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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.