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Finding the Fourth Proportional to 4,257, 6,387.30 and 3,032.28

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Solution

The fourth proportional to 4,257, 6,387.30 and 3,032.28 is: 4,549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257 : 6,387.30 = 3,032.28 : x
  2. Step 2: Convert to fraction form
    4,257/6,387.30 = 3,032.28/x
  3. Step 3: Cross multiply
    4,257x = 6,387.30 × 3,032.28
  4. Step 4: Simplify right side
    4,257x = 19,368,082.04
  5. Step 5: Solve for x
    x = 19,368,082.04/4,257
  6. Step 6: Final answer
    x = 4,549.70

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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.