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Finding the Fourth Proportional to 2,538.48, 3,502.20 and 1,434.48

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Solution

The fourth proportional to 2,538.48, 3,502.20 and 1,434.48 is: 1,979.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.48 : 3,502.20 = 1,434.48 : x
  2. Step 2: Convert to fraction form
    2,538.48/3,502.20 = 1,434.48/x
  3. Step 3: Cross multiply
    2,538.48x = 3,502.20 × 1,434.48
  4. Step 4: Simplify right side
    2,538.48x = 5,023,835.86
  5. Step 5: Solve for x
    x = 5,023,835.86/2,538.48
  6. Step 6: Final answer
    x = 1,979.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.