Home / 1,542.81-2,129.13-844.23

Finding the Fourth Proportional to 1,542.81, 2,129.13 and 844.23

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Solution

The fourth proportional to 1,542.81, 2,129.13 and 844.23 is: 1,165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.81 : 2,129.13 = 844.23 : x
  2. Step 2: Convert to fraction form
    1,542.81/2,129.13 = 844.23/x
  3. Step 3: Cross multiply
    1,542.81x = 2,129.13 × 844.23
  4. Step 4: Simplify right side
    1,542.81x = 1,797,475.42
  5. Step 5: Solve for x
    x = 1,797,475.42/1,542.81
  6. Step 6: Final answer
    x = 1,165.07

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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.