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Finding the Fourth Proportional to 3,319.53, 4,978.61 and 1,239.15

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Solution

The fourth proportional to 3,319.53, 4,978.61 and 1,239.15 is: 1,858.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.53 : 4,978.61 = 1,239.15 : x
  2. Step 2: Convert to fraction form
    3,319.53/4,978.61 = 1,239.15/x
  3. Step 3: Cross multiply
    3,319.53x = 4,978.61 × 1,239.15
  4. Step 4: Simplify right side
    3,319.53x = 6,169,240.67
  5. Step 5: Solve for x
    x = 6,169,240.67/3,319.53
  6. Step 6: Final answer
    x = 1,858.47

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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.