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Finding the Fourth Proportional to 9,021.57, 12,447 and 5,244

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Solution

The fourth proportional to 9,021.57, 12,447 and 5,244 is: 7,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.57 : 12,447 = 5,244 : x
  2. Step 2: Convert to fraction form
    9,021.57/12,447 = 5,244/x
  3. Step 3: Cross multiply
    9,021.57x = 12,447 × 5,244
  4. Step 4: Simplify right side
    9,021.57x = 65,272,068
  5. Step 5: Solve for x
    x = 65,272,068/9,021.57
  6. Step 6: Final answer
    x = 7,235.11

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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.