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Finding the Fourth Proportional to 2,427.16, 3,640.74 and 672.18

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Solution

The fourth proportional to 2,427.16, 3,640.74 and 672.18 is: 1,008.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.16 : 3,640.74 = 672.18 : x
  2. Step 2: Convert to fraction form
    2,427.16/3,640.74 = 672.18/x
  3. Step 3: Cross multiply
    2,427.16x = 3,640.74 × 672.18
  4. Step 4: Simplify right side
    2,427.16x = 2,447,232.61
  5. Step 5: Solve for x
    x = 2,447,232.61/2,427.16
  6. Step 6: Final answer
    x = 1,008.27

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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.