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Finding the Fourth Proportional to 9,149.88, 12,620.34 and 7,746.54

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Solution

The fourth proportional to 9,149.88, 12,620.34 and 7,746.54 is: 10,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.88 : 12,620.34 = 7,746.54 : x
  2. Step 2: Convert to fraction form
    9,149.88/12,620.34 = 7,746.54/x
  3. Step 3: Cross multiply
    9,149.88x = 12,620.34 × 7,746.54
  4. Step 4: Simplify right side
    9,149.88x = 97,763,968.62
  5. Step 5: Solve for x
    x = 97,763,968.62/9,149.88
  6. Step 6: Final answer
    x = 10,684.73

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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.