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Finding the Fourth Proportional to 9,279.75, 12,806.06 and 5,088

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Solution

The fourth proportional to 9,279.75, 12,806.06 and 5,088 is: 7,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279.75 : 12,806.06 = 5,088 : x
  2. Step 2: Convert to fraction form
    9,279.75/12,806.06 = 5,088/x
  3. Step 3: Cross multiply
    9,279.75x = 12,806.06 × 5,088
  4. Step 4: Simplify right side
    9,279.75x = 65,157,233.28
  5. Step 5: Solve for x
    x = 65,157,233.28/9,279.75
  6. Step 6: Final answer
    x = 7,021.44

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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.