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Finding the Fourth Proportional to 7,872, 11,807.52 and 2,325.12

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Solution

The fourth proportional to 7,872, 11,807.52 and 2,325.12 is: 3,487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872 : 11,807.52 = 2,325.12 : x
  2. Step 2: Convert to fraction form
    7,872/11,807.52 = 2,325.12/x
  3. Step 3: Cross multiply
    7,872x = 11,807.52 × 2,325.12
  4. Step 4: Simplify right side
    7,872x = 27,453,900.90
  5. Step 5: Solve for x
    x = 27,453,900.90/7,872
  6. Step 6: Final answer
    x = 3,487.54

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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.