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Finding the Fourth Proportional to 2,510.85, 3,766.50 and 661.94

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Solution

The fourth proportional to 2,510.85, 3,766.50 and 661.94 is: 992.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.85 : 3,766.50 = 661.94 : x
  2. Step 2: Convert to fraction form
    2,510.85/3,766.50 = 661.94/x
  3. Step 3: Cross multiply
    2,510.85x = 3,766.50 × 661.94
  4. Step 4: Simplify right side
    2,510.85x = 2,493,197.01
  5. Step 5: Solve for x
    x = 2,493,197.01/2,510.85
  6. Step 6: Final answer
    x = 992.97

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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.