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Finding the Fourth Proportional to 3,319.78, 4,978.99 and 1,239.40

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Solution

The fourth proportional to 3,319.78, 4,978.99 and 1,239.40 is: 1,858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.78 : 4,978.99 = 1,239.40 : x
  2. Step 2: Convert to fraction form
    3,319.78/4,978.99 = 1,239.40/x
  3. Step 3: Cross multiply
    3,319.78x = 4,978.99 × 1,239.40
  4. Step 4: Simplify right side
    3,319.78x = 6,170,947.76
  5. Step 5: Solve for x
    x = 6,170,947.76/3,319.78
  6. Step 6: Final answer
    x = 1,858.84

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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.