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Finding the Fourth Proportional to 9,199.52, 12,696.78 and 5,615.26

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Solution

The fourth proportional to 9,199.52, 12,696.78 and 5,615.26 is: 7,749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.52 : 12,696.78 = 5,615.26 : x
  2. Step 2: Convert to fraction form
    9,199.52/12,696.78 = 5,615.26/x
  3. Step 3: Cross multiply
    9,199.52x = 12,696.78 × 5,615.26
  4. Step 4: Simplify right side
    9,199.52x = 71,295,720.86
  5. Step 5: Solve for x
    x = 71,295,720.86/9,199.52
  6. Step 6: Final answer
    x = 7,749.94

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1.5x scale

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.