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Finding the Fourth Proportional to 5,140.71, 7,711.07 and 2,512.67

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Solution

The fourth proportional to 5,140.71, 7,711.07 and 2,512.67 is: 3,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.71 : 7,711.07 = 2,512.67 : x
  2. Step 2: Convert to fraction form
    5,140.71/7,711.07 = 2,512.67/x
  3. Step 3: Cross multiply
    5,140.71x = 7,711.07 × 2,512.67
  4. Step 4: Simplify right side
    5,140.71x = 19,375,323.14
  5. Step 5: Solve for x
    x = 19,375,323.14/5,140.71
  6. Step 6: Final answer
    x = 3,769.00

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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.