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Finding the Fourth Proportional to 2,610.65, 3,916.22 and 761.78

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Solution

The fourth proportional to 2,610.65, 3,916.22 and 761.78 is: 1,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.65 : 3,916.22 = 761.78 : x
  2. Step 2: Convert to fraction form
    2,610.65/3,916.22 = 761.78/x
  3. Step 3: Cross multiply
    2,610.65x = 3,916.22 × 761.78
  4. Step 4: Simplify right side
    2,610.65x = 2,983,299.47
  5. Step 5: Solve for x
    x = 2,983,299.47/2,610.65
  6. Step 6: Final answer
    x = 1,142.74

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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.