Home / 1,542.38-2,128.29-913.01

Finding the Fourth Proportional to 1,542.38, 2,128.29 and 913.01

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Solution

The fourth proportional to 1,542.38, 2,128.29 and 913.01 is: 1,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.38 : 2,128.29 = 913.01 : x
  2. Step 2: Convert to fraction form
    1,542.38/2,128.29 = 913.01/x
  3. Step 3: Cross multiply
    1,542.38x = 2,128.29 × 913.01
  4. Step 4: Simplify right side
    1,542.38x = 1,943,150.05
  5. Step 5: Solve for x
    x = 1,943,150.05/1,542.38
  6. Step 6: Final answer
    x = 1,259.84

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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.