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Finding the Fourth Proportional to 3,319.04, 4,978.88 and 1,238.55

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Solution

The fourth proportional to 3,319.04, 4,978.88 and 1,238.55 is: 1,857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.04 : 4,978.88 = 1,238.55 : x
  2. Step 2: Convert to fraction form
    3,319.04/4,978.88 = 1,238.55/x
  3. Step 3: Cross multiply
    3,319.04x = 4,978.88 × 1,238.55
  4. Step 4: Simplify right side
    3,319.04x = 6,166,591.82
  5. Step 5: Solve for x
    x = 6,166,591.82/3,319.04
  6. Step 6: Final answer
    x = 1,857.94

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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.