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Finding the Fourth Proportional to 7,913.10, 11,871.82 and 5,687.76

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Solution

The fourth proportional to 7,913.10, 11,871.82 and 5,687.76 is: 8,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913.10 : 11,871.82 = 5,687.76 : x
  2. Step 2: Convert to fraction form
    7,913.10/11,871.82 = 5,687.76/x
  3. Step 3: Cross multiply
    7,913.10x = 11,871.82 × 5,687.76
  4. Step 4: Simplify right side
    7,913.10x = 67,524,062.92
  5. Step 5: Solve for x
    x = 67,524,062.92/7,913.10
  6. Step 6: Final answer
    x = 8,533.20

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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.