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Finding the Fourth Proportional to 5,292, 7,938 and 3,624.48

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Solution

The fourth proportional to 5,292, 7,938 and 3,624.48 is: 5,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292 : 7,938 = 3,624.48 : x
  2. Step 2: Convert to fraction form
    5,292/7,938 = 3,624.48/x
  3. Step 3: Cross multiply
    5,292x = 7,938 × 3,624.48
  4. Step 4: Simplify right side
    5,292x = 28,771,122.24
  5. Step 5: Solve for x
    x = 28,771,122.24/5,292
  6. Step 6: Final answer
    x = 5,436.72

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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.