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Finding the Fourth Proportional to 7,257, 10,885.62 and 3,153

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Solution

The fourth proportional to 7,257, 10,885.62 and 3,153 is: 4,729.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257 : 10,885.62 = 3,153 : x
  2. Step 2: Convert to fraction form
    7,257/10,885.62 = 3,153/x
  3. Step 3: Cross multiply
    7,257x = 10,885.62 × 3,153
  4. Step 4: Simplify right side
    7,257x = 34,322,359.86
  5. Step 5: Solve for x
    x = 34,322,359.86/7,257
  6. Step 6: Final answer
    x = 4,729.55

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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.