Home / 3,318.14-4,977.45-978.12

Finding the Fourth Proportional to 3,318.14, 4,977.45 and 978.12

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Solution

The fourth proportional to 3,318.14, 4,977.45 and 978.12 is: 1,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.14 : 4,977.45 = 978.12 : x
  2. Step 2: Convert to fraction form
    3,318.14/4,977.45 = 978.12/x
  3. Step 3: Cross multiply
    3,318.14x = 4,977.45 × 978.12
  4. Step 4: Simplify right side
    3,318.14x = 4,868,543.39
  5. Step 5: Solve for x
    x = 4,868,543.39/3,318.14
  6. Step 6: Final answer
    x = 1,467.25

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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.