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Finding the Fourth Proportional to 3,319.15, 4,978.74 and 979.19

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Solution

The fourth proportional to 3,319.15, 4,978.74 and 979.19 is: 1,468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.15 : 4,978.74 = 979.19 : x
  2. Step 2: Convert to fraction form
    3,319.15/4,978.74 = 979.19/x
  3. Step 3: Cross multiply
    3,319.15x = 4,978.74 × 979.19
  4. Step 4: Simplify right side
    3,319.15x = 4,875,127.12
  5. Step 5: Solve for x
    x = 4,875,127.12/3,319.15
  6. Step 6: Final answer
    x = 1,468.79

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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.