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Finding the Fourth Proportional to 7,876.71, 10,862.64 and 4,891.50

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Solution

The fourth proportional to 7,876.71, 10,862.64 and 4,891.50 is: 6,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.71 : 10,862.64 = 4,891.50 : x
  2. Step 2: Convert to fraction form
    7,876.71/10,862.64 = 4,891.50/x
  3. Step 3: Cross multiply
    7,876.71x = 10,862.64 × 4,891.50
  4. Step 4: Simplify right side
    7,876.71x = 53,134,603.56
  5. Step 5: Solve for x
    x = 53,134,603.56/7,876.71
  6. Step 6: Final answer
    x = 6,745.79

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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.