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Finding the Fourth Proportional to 4,257, 6,377.40 and 3,328.20

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Solution

The fourth proportional to 4,257, 6,377.40 and 3,328.20 is: 4,985.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257 : 6,377.40 = 3,328.20 : x
  2. Step 2: Convert to fraction form
    4,257/6,377.40 = 3,328.20/x
  3. Step 3: Cross multiply
    4,257x = 6,377.40 × 3,328.20
  4. Step 4: Simplify right side
    4,257x = 21,225,262.68
  5. Step 5: Solve for x
    x = 21,225,262.68/4,257
  6. Step 6: Final answer
    x = 4,985.97

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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.