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Finding the Fourth Proportional to 7,872.16, 11,809.14 and 2,607.87

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Solution

The fourth proportional to 7,872.16, 11,809.14 and 2,607.87 is: 3,912.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.16 : 11,809.14 = 2,607.87 : x
  2. Step 2: Convert to fraction form
    7,872.16/11,809.14 = 2,607.87/x
  3. Step 3: Cross multiply
    7,872.16x = 11,809.14 × 2,607.87
  4. Step 4: Simplify right side
    7,872.16x = 30,796,701.93
  5. Step 5: Solve for x
    x = 30,796,701.93/7,872.16
  6. Step 6: Final answer
    x = 3,912.10

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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.