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Finding the Fourth Proportional to 5,140.11, 7,713.11 and 2,800.02

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Solution

The fourth proportional to 5,140.11, 7,713.11 and 2,800.02 is: 4,201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.11 : 7,713.11 = 2,800.02 : x
  2. Step 2: Convert to fraction form
    5,140.11/7,713.11 = 2,800.02/x
  3. Step 3: Cross multiply
    5,140.11x = 7,713.11 × 2,800.02
  4. Step 4: Simplify right side
    5,140.11x = 21,596,862.26
  5. Step 5: Solve for x
    x = 21,596,862.26/5,140.11
  6. Step 6: Final answer
    x = 4,201.63

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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.