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Finding the Fourth Proportional to 7,872.70, 11,810.99 and 2,326.02

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Solution

The fourth proportional to 7,872.70, 11,810.99 and 2,326.02 is: 3,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.70 : 11,810.99 = 2,326.02 : x
  2. Step 2: Convert to fraction form
    7,872.70/11,810.99 = 2,326.02/x
  3. Step 3: Cross multiply
    7,872.70x = 11,810.99 × 2,326.02
  4. Step 4: Simplify right side
    7,872.70x = 27,472,598.96
  5. Step 5: Solve for x
    x = 27,472,598.96/7,872.70
  6. Step 6: Final answer
    x = 3,489.60

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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.