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Finding the Fourth Proportional to 7,823.52, 11,735.28 and 3,143.88

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Solution

The fourth proportional to 7,823.52, 11,735.28 and 3,143.88 is: 4,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.52 : 11,735.28 = 3,143.88 : x
  2. Step 2: Convert to fraction form
    7,823.52/11,735.28 = 3,143.88/x
  3. Step 3: Cross multiply
    7,823.52x = 11,735.28 × 3,143.88
  4. Step 4: Simplify right side
    7,823.52x = 36,894,312.09
  5. Step 5: Solve for x
    x = 36,894,312.09/7,823.52
  6. Step 6: Final answer
    x = 4,715.82

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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.