Home / 1,542.24-2,129.85-982.96

Finding the Fourth Proportional to 1,542.24, 2,129.85 and 982.96

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Solution

The fourth proportional to 1,542.24, 2,129.85 and 982.96 is: 1,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.24 : 2,129.85 = 982.96 : x
  2. Step 2: Convert to fraction form
    1,542.24/2,129.85 = 982.96/x
  3. Step 3: Cross multiply
    1,542.24x = 2,129.85 × 982.96
  4. Step 4: Simplify right side
    1,542.24x = 2,093,557.36
  5. Step 5: Solve for x
    x = 2,093,557.36/1,542.24
  6. Step 6: Final answer
    x = 1,357.48

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1.5x scale

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.