Home / 1,117.28-1,540.48-942.24

Finding the Fourth Proportional to 1,117.28, 1,540.48 and 942.24

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Solution

The fourth proportional to 1,117.28, 1,540.48 and 942.24 is: 1,299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.28 : 1,540.48 = 942.24 : x
  2. Step 2: Convert to fraction form
    1,117.28/1,540.48 = 942.24/x
  3. Step 3: Cross multiply
    1,117.28x = 1,540.48 × 942.24
  4. Step 4: Simplify right side
    1,117.28x = 1,451,501.88
  5. Step 5: Solve for x
    x = 1,451,501.88/1,117.28
  6. Step 6: Final answer
    x = 1,299.14

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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.