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Finding the Fourth Proportional to 2,351, 3,242.88 and 1,511.42

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Solution

The fourth proportional to 2,351, 3,242.88 and 1,511.42 is: 2,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351 : 3,242.88 = 1,511.42 : x
  2. Step 2: Convert to fraction form
    2,351/3,242.88 = 1,511.42/x
  3. Step 3: Cross multiply
    2,351x = 3,242.88 × 1,511.42
  4. Step 4: Simplify right side
    2,351x = 4,901,353.69
  5. Step 5: Solve for x
    x = 4,901,353.69/2,351
  6. Step 6: Final answer
    x = 2,084.80

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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.