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Finding the Fourth Proportional to 5,106.52, 7,047.02 and 2,868.49

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Solution

The fourth proportional to 5,106.52, 7,047.02 and 2,868.49 is: 3,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.52 : 7,047.02 = 2,868.49 : x
  2. Step 2: Convert to fraction form
    5,106.52/7,047.02 = 2,868.49/x
  3. Step 3: Cross multiply
    5,106.52x = 7,047.02 × 2,868.49
  4. Step 4: Simplify right side
    5,106.52x = 20,214,295.95
  5. Step 5: Solve for x
    x = 20,214,295.95/5,106.52
  6. Step 6: Final answer
    x = 3,958.53

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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.