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Finding the Fourth Proportional to 4,080, 6,115.12 and 2,840.70

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Solution

The fourth proportional to 4,080, 6,115.12 and 2,840.70 is: 4,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,080 : 6,115.12 = 2,840.70 : x
  2. Step 2: Convert to fraction form
    4,080/6,115.12 = 2,840.70/x
  3. Step 3: Cross multiply
    4,080x = 6,115.12 × 2,840.70
  4. Step 4: Simplify right side
    4,080x = 17,371,221.38
  5. Step 5: Solve for x
    x = 17,371,221.38/4,080
  6. Step 6: Final answer
    x = 4,257.65

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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.