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Finding the Fourth Proportional to 3,319.92, 4,978.40 and 1,010.88

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Solution

The fourth proportional to 3,319.92, 4,978.40 and 1,010.88 is: 1,515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.92 : 4,978.40 = 1,010.88 : x
  2. Step 2: Convert to fraction form
    3,319.92/4,978.40 = 1,010.88/x
  3. Step 3: Cross multiply
    3,319.92x = 4,978.40 × 1,010.88
  4. Step 4: Simplify right side
    3,319.92x = 5,032,564.99
  5. Step 5: Solve for x
    x = 5,032,564.99/3,319.92
  6. Step 6: Final answer
    x = 1,515.87

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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.