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Finding the Fourth Proportional to 2,538, 3,502.85 and 1,489.86

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Solution

The fourth proportional to 2,538, 3,502.85 and 1,489.86 is: 2,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538 : 3,502.85 = 1,489.86 : x
  2. Step 2: Convert to fraction form
    2,538/3,502.85 = 1,489.86/x
  3. Step 3: Cross multiply
    2,538x = 3,502.85 × 1,489.86
  4. Step 4: Simplify right side
    2,538x = 5,218,748.65
  5. Step 5: Solve for x
    x = 5,218,748.65/2,538
  6. Step 6: Final answer
    x = 2,056.24

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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.