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Finding the Fourth Proportional to 9,197.72, 12,695.72 and 5,221.48

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Solution

The fourth proportional to 9,197.72, 12,695.72 and 5,221.48 is: 7,207.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.72 : 12,695.72 = 5,221.48 : x
  2. Step 2: Convert to fraction form
    9,197.72/12,695.72 = 5,221.48/x
  3. Step 3: Cross multiply
    9,197.72x = 12,695.72 × 5,221.48
  4. Step 4: Simplify right side
    9,197.72x = 66,290,448.07
  5. Step 5: Solve for x
    x = 66,290,448.07/9,197.72
  6. Step 6: Final answer
    x = 7,207.27

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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.