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Finding the Fourth Proportional to 2,023.40, 2,792.40 and 1,139.24

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Solution

The fourth proportional to 2,023.40, 2,792.40 and 1,139.24 is: 1,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.40 : 2,792.40 = 1,139.24 : x
  2. Step 2: Convert to fraction form
    2,023.40/2,792.40 = 1,139.24/x
  3. Step 3: Cross multiply
    2,023.40x = 2,792.40 × 1,139.24
  4. Step 4: Simplify right side
    2,023.40x = 3,181,213.78
  5. Step 5: Solve for x
    x = 3,181,213.78/2,023.40
  6. Step 6: Final answer
    x = 1,572.21

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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.