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Finding the Fourth Proportional to 9,149.87, 12,620.33 and 7,746.55

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Solution

The fourth proportional to 9,149.87, 12,620.33 and 7,746.55 is: 10,684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.87 : 12,620.33 = 7,746.55 : x
  2. Step 2: Convert to fraction form
    9,149.87/12,620.33 = 7,746.55/x
  3. Step 3: Cross multiply
    9,149.87x = 12,620.33 × 7,746.55
  4. Step 4: Simplify right side
    9,149.87x = 97,764,017.36
  5. Step 5: Solve for x
    x = 97,764,017.36/9,149.87
  6. Step 6: Final answer
    x = 10,684.74

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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.