Home / 2,974.16-4,109.64-2,281.52

Finding the Fourth Proportional to 2,974.16, 4,109.64 and 2,281.52

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Solution

The fourth proportional to 2,974.16, 4,109.64 and 2,281.52 is: 3,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.16 : 4,109.64 = 2,281.52 : x
  2. Step 2: Convert to fraction form
    2,974.16/4,109.64 = 2,281.52/x
  3. Step 3: Cross multiply
    2,974.16x = 4,109.64 × 2,281.52
  4. Step 4: Simplify right side
    2,974.16x = 9,376,225.85
  5. Step 5: Solve for x
    x = 9,376,225.85/2,974.16
  6. Step 6: Final answer
    x = 3,152.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.