Home / 1,142.38-1,572.67-1,090.14

Finding the Fourth Proportional to 1,142.38, 1,572.67 and 1,090.14

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Solution

The fourth proportional to 1,142.38, 1,572.67 and 1,090.14 is: 1,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.38 : 1,572.67 = 1,090.14 : x
  2. Step 2: Convert to fraction form
    1,142.38/1,572.67 = 1,090.14/x
  3. Step 3: Cross multiply
    1,142.38x = 1,572.67 × 1,090.14
  4. Step 4: Simplify right side
    1,142.38x = 1,714,430.47
  5. Step 5: Solve for x
    x = 1,714,430.47/1,142.38
  6. Step 6: Final answer
    x = 1,500.75

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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.