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Finding the Fourth Proportional to 5,310.40, 7,963.20 and 2,387.20

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Solution

The fourth proportional to 5,310.40, 7,963.20 and 2,387.20 is: 3,579.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.40 : 7,963.20 = 2,387.20 : x
  2. Step 2: Convert to fraction form
    5,310.40/7,963.20 = 2,387.20/x
  3. Step 3: Cross multiply
    5,310.40x = 7,963.20 × 2,387.20
  4. Step 4: Simplify right side
    5,310.40x = 19,009,751.04
  5. Step 5: Solve for x
    x = 19,009,751.04/5,310.40
  6. Step 6: Final answer
    x = 3,579.72

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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.