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Finding the Fourth Proportional to 3,291.76, 4,938.44 and 2,319.76

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Solution

The fourth proportional to 3,291.76, 4,938.44 and 2,319.76 is: 3,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.76 : 4,938.44 = 2,319.76 : x
  2. Step 2: Convert to fraction form
    3,291.76/4,938.44 = 2,319.76/x
  3. Step 3: Cross multiply
    3,291.76x = 4,938.44 × 2,319.76
  4. Step 4: Simplify right side
    3,291.76x = 11,455,995.57
  5. Step 5: Solve for x
    x = 11,455,995.57/3,291.76
  6. Step 6: Final answer
    x = 3,480.20

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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.