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Finding the Fourth Proportional to 9,250, 12,765 and 5,943.76

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Solution

The fourth proportional to 9,250, 12,765 and 5,943.76 is: 8,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250 : 12,765 = 5,943.76 : x
  2. Step 2: Convert to fraction form
    9,250/12,765 = 5,943.76/x
  3. Step 3: Cross multiply
    9,250x = 12,765 × 5,943.76
  4. Step 4: Simplify right side
    9,250x = 75,872,096.40
  5. Step 5: Solve for x
    x = 75,872,096.40/9,250
  6. Step 6: Final answer
    x = 8,202.39

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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.