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Finding the Fourth Proportional to 9,257.34, 12,774.38 and 5,277.72

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Solution

The fourth proportional to 9,257.34, 12,774.38 and 5,277.72 is: 7,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.34 : 12,774.38 = 5,277.72 : x
  2. Step 2: Convert to fraction form
    9,257.34/12,774.38 = 5,277.72/x
  3. Step 3: Cross multiply
    9,257.34x = 12,774.38 × 5,277.72
  4. Step 4: Simplify right side
    9,257.34x = 67,419,600.81
  5. Step 5: Solve for x
    x = 67,419,600.81/9,257.34
  6. Step 6: Final answer
    x = 7,282.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.