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Finding the Fourth Proportional to 5,230.64, 7,218 and 2,872.40

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Solution

The fourth proportional to 5,230.64, 7,218 and 2,872.40 is: 3,963.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.64 : 7,218 = 2,872.40 : x
  2. Step 2: Convert to fraction form
    5,230.64/7,218 = 2,872.40/x
  3. Step 3: Cross multiply
    5,230.64x = 7,218 × 2,872.40
  4. Step 4: Simplify right side
    5,230.64x = 20,732,983.20
  5. Step 5: Solve for x
    x = 20,732,983.20/5,230.64
  6. Step 6: Final answer
    x = 3,963.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.