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Finding the Fourth Proportional to 5,137.86, 7,708.10 and 1,440.11

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Solution

The fourth proportional to 5,137.86, 7,708.10 and 1,440.11 is: 2,160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.86 : 7,708.10 = 1,440.11 : x
  2. Step 2: Convert to fraction form
    5,137.86/7,708.10 = 1,440.11/x
  3. Step 3: Cross multiply
    5,137.86x = 7,708.10 × 1,440.11
  4. Step 4: Simplify right side
    5,137.86x = 11,100,466.15
  5. Step 5: Solve for x
    x = 11,100,466.15/5,137.86
  6. Step 6: Final answer
    x = 2,160.52

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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.