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Finding the Fourth Proportional to 7,715.92, 11,573.16 and 3,822.88

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Solution

The fourth proportional to 7,715.92, 11,573.16 and 3,822.88 is: 5,733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.92 : 11,573.16 = 3,822.88 : x
  2. Step 2: Convert to fraction form
    7,715.92/11,573.16 = 3,822.88/x
  3. Step 3: Cross multiply
    7,715.92x = 11,573.16 × 3,822.88
  4. Step 4: Simplify right side
    7,715.92x = 44,242,801.90
  5. Step 5: Solve for x
    x = 44,242,801.90/7,715.92
  6. Step 6: Final answer
    x = 5,733.96

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1.5x scale

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.