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Finding the Fourth Proportional to 5,138.56, 7,707.03 and 1,675

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Solution

The fourth proportional to 5,138.56, 7,707.03 and 1,675 is: 2,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.56 : 7,707.03 = 1,675 : x
  2. Step 2: Convert to fraction form
    5,138.56/7,707.03 = 1,675/x
  3. Step 3: Cross multiply
    5,138.56x = 7,707.03 × 1,675
  4. Step 4: Simplify right side
    5,138.56x = 12,909,275.25
  5. Step 5: Solve for x
    x = 12,909,275.25/5,138.56
  6. Step 6: Final answer
    x = 2,512.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.