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Finding the Fourth Proportional to 7,856, 11,787.24 and 3,242.24

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Solution

The fourth proportional to 7,856, 11,787.24 and 3,242.24 is: 4,864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856 : 11,787.24 = 3,242.24 : x
  2. Step 2: Convert to fraction form
    7,856/11,787.24 = 3,242.24/x
  3. Step 3: Cross multiply
    7,856x = 11,787.24 × 3,242.24
  4. Step 4: Simplify right side
    7,856x = 38,217,061.02
  5. Step 5: Solve for x
    x = 38,217,061.02/7,856
  6. Step 6: Final answer
    x = 4,864.70

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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.