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Finding the Fourth Proportional to 1,766.68, 2,649.98 and 1,040.86

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Solution

The fourth proportional to 1,766.68, 2,649.98 and 1,040.86 is: 1,561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.68 : 2,649.98 = 1,040.86 : x
  2. Step 2: Convert to fraction form
    1,766.68/2,649.98 = 1,040.86/x
  3. Step 3: Cross multiply
    1,766.68x = 2,649.98 × 1,040.86
  4. Step 4: Simplify right side
    1,766.68x = 2,758,258.18
  5. Step 5: Solve for x
    x = 2,758,258.18/1,766.68
  6. Step 6: Final answer
    x = 1,561.27

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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.