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Finding the Fourth Proportional to 4,256, 5,872.82 and 2,487.38

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Solution

The fourth proportional to 4,256, 5,872.82 and 2,487.38 is: 3,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256 : 5,872.82 = 2,487.38 : x
  2. Step 2: Convert to fraction form
    4,256/5,872.82 = 2,487.38/x
  3. Step 3: Cross multiply
    4,256x = 5,872.82 × 2,487.38
  4. Step 4: Simplify right side
    4,256x = 14,607,935.01
  5. Step 5: Solve for x
    x = 14,607,935.01/4,256
  6. Step 6: Final answer
    x = 3,432.32

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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.