Home / 3,442.38-5,162.79-977.14

Finding the Fourth Proportional to 3,442.38, 5,162.79 and 977.14

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Solution

The fourth proportional to 3,442.38, 5,162.79 and 977.14 is: 1,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.38 : 5,162.79 = 977.14 : x
  2. Step 2: Convert to fraction form
    3,442.38/5,162.79 = 977.14/x
  3. Step 3: Cross multiply
    3,442.38x = 5,162.79 × 977.14
  4. Step 4: Simplify right side
    3,442.38x = 5,044,768.62
  5. Step 5: Solve for x
    x = 5,044,768.62/3,442.38
  6. Step 6: Final answer
    x = 1,465.49

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1.5x scale

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.