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Finding the Fourth Proportional to 7,868.72, 11,798.64 and 2,671.76

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Solution

The fourth proportional to 7,868.72, 11,798.64 and 2,671.76 is: 4,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.72 : 11,798.64 = 2,671.76 : x
  2. Step 2: Convert to fraction form
    7,868.72/11,798.64 = 2,671.76/x
  3. Step 3: Cross multiply
    7,868.72x = 11,798.64 × 2,671.76
  4. Step 4: Simplify right side
    7,868.72x = 31,523,134.41
  5. Step 5: Solve for x
    x = 31,523,134.41/7,868.72
  6. Step 6: Final answer
    x = 4,006.13

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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.