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Finding the Fourth Proportional to 3,319.07, 4,978.11 and 1,238.79

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Solution

The fourth proportional to 3,319.07, 4,978.11 and 1,238.79 is: 1,858.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.07 : 4,978.11 = 1,238.79 : x
  2. Step 2: Convert to fraction form
    3,319.07/4,978.11 = 1,238.79/x
  3. Step 3: Cross multiply
    3,319.07x = 4,978.11 × 1,238.79
  4. Step 4: Simplify right side
    3,319.07x = 6,166,832.89
  5. Step 5: Solve for x
    x = 6,166,832.89/3,319.07
  6. Step 6: Final answer
    x = 1,858.00

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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.