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Finding the Fourth Proportional to 2,279.76, 3,420 and 1,240.08

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Solution

The fourth proportional to 2,279.76, 3,420 and 1,240.08 is: 1,860.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.76 : 3,420 = 1,240.08 : x
  2. Step 2: Convert to fraction form
    2,279.76/3,420 = 1,240.08/x
  3. Step 3: Cross multiply
    2,279.76x = 3,420 × 1,240.08
  4. Step 4: Simplify right side
    2,279.76x = 4,241,073.60
  5. Step 5: Solve for x
    x = 4,241,073.60/2,279.76
  6. Step 6: Final answer
    x = 1,860.32

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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.