Home / 2,272.14-3,407.31-972.70

Finding the Fourth Proportional to 2,272.14, 3,407.31 and 972.70

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Solution

The fourth proportional to 2,272.14, 3,407.31 and 972.70 is: 1,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.14 : 3,407.31 = 972.70 : x
  2. Step 2: Convert to fraction form
    2,272.14/3,407.31 = 972.70/x
  3. Step 3: Cross multiply
    2,272.14x = 3,407.31 × 972.70
  4. Step 4: Simplify right side
    2,272.14x = 3,314,281.92
  5. Step 5: Solve for x
    x = 3,314,281.92/2,272.14
  6. Step 6: Final answer
    x = 1,458.66

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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.