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Finding the Fourth Proportional to 7,872.71, 11,802 and 7,187.91

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Solution

The fourth proportional to 7,872.71, 11,802 and 7,187.91 is: 10,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.71 : 11,802 = 7,187.91 : x
  2. Step 2: Convert to fraction form
    7,872.71/11,802 = 7,187.91/x
  3. Step 3: Cross multiply
    7,872.71x = 11,802 × 7,187.91
  4. Step 4: Simplify right side
    7,872.71x = 84,831,654.81
  5. Step 5: Solve for x
    x = 84,831,654.81/7,872.71
  6. Step 6: Final answer
    x = 10,775.41

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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.