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Finding the Fourth Proportional to 2,482, 3,431.56 and 2,373.20

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Solution

The fourth proportional to 2,482, 3,431.56 and 2,373.20 is: 3,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482 : 3,431.56 = 2,373.20 : x
  2. Step 2: Convert to fraction form
    2,482/3,431.56 = 2,373.20/x
  3. Step 3: Cross multiply
    2,482x = 3,431.56 × 2,373.20
  4. Step 4: Simplify right side
    2,482x = 8,143,778.19
  5. Step 5: Solve for x
    x = 8,143,778.19/2,482
  6. Step 6: Final answer
    x = 3,281.14

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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.