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Finding the Fourth Proportional to 5,138.64, 7,707.12 and 1,440.54

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Solution

The fourth proportional to 5,138.64, 7,707.12 and 1,440.54 is: 2,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.64 : 7,707.12 = 1,440.54 : x
  2. Step 2: Convert to fraction form
    5,138.64/7,707.12 = 1,440.54/x
  3. Step 3: Cross multiply
    5,138.64x = 7,707.12 × 1,440.54
  4. Step 4: Simplify right side
    5,138.64x = 11,102,414.64
  5. Step 5: Solve for x
    x = 11,102,414.64/5,138.64
  6. Step 6: Final answer
    x = 2,160.57

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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.