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Finding the Fourth Proportional to 4,257.98, 6,387 and 1,484.70

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Solution

The fourth proportional to 4,257.98, 6,387 and 1,484.70 is: 2,227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.98 : 6,387 = 1,484.70 : x
  2. Step 2: Convert to fraction form
    4,257.98/6,387 = 1,484.70/x
  3. Step 3: Cross multiply
    4,257.98x = 6,387 × 1,484.70
  4. Step 4: Simplify right side
    4,257.98x = 9,482,778.90
  5. Step 5: Solve for x
    x = 9,482,778.90/4,257.98
  6. Step 6: Final answer
    x = 2,227.06

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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.