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Finding the Fourth Proportional to 9,195.53, 12,690.12 and 5,660.78

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Solution

The fourth proportional to 9,195.53, 12,690.12 and 5,660.78 is: 7,812.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.53 : 12,690.12 = 5,660.78 : x
  2. Step 2: Convert to fraction form
    9,195.53/12,690.12 = 5,660.78/x
  3. Step 3: Cross multiply
    9,195.53x = 12,690.12 × 5,660.78
  4. Step 4: Simplify right side
    9,195.53x = 71,835,977.49
  5. Step 5: Solve for x
    x = 71,835,977.49/9,195.53
  6. Step 6: Final answer
    x = 7,812.05

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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.