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Finding the Fourth Proportional to 2,510.62, 3,765.61 and 661.75

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Solution

The fourth proportional to 2,510.62, 3,765.61 and 661.75 is: 992.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.62 : 3,765.61 = 661.75 : x
  2. Step 2: Convert to fraction form
    2,510.62/3,765.61 = 661.75/x
  3. Step 3: Cross multiply
    2,510.62x = 3,765.61 × 661.75
  4. Step 4: Simplify right side
    2,510.62x = 2,491,892.42
  5. Step 5: Solve for x
    x = 2,491,892.42/2,510.62
  6. Step 6: Final answer
    x = 992.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.