Home / 1,531.40-2,292.85-982.22

Finding the Fourth Proportional to 1,531.40, 2,292.85 and 982.22

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Solution

The fourth proportional to 1,531.40, 2,292.85 and 982.22 is: 1,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.40 : 2,292.85 = 982.22 : x
  2. Step 2: Convert to fraction form
    1,531.40/2,292.85 = 982.22/x
  3. Step 3: Cross multiply
    1,531.40x = 2,292.85 × 982.22
  4. Step 4: Simplify right side
    1,531.40x = 2,252,078.22
  5. Step 5: Solve for x
    x = 2,252,078.22/1,531.40
  6. Step 6: Final answer
    x = 1,470.60

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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.