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Finding the Fourth Proportional to 3,854.79, 5,782.19 and 1,081.76

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Solution

The fourth proportional to 3,854.79, 5,782.19 and 1,081.76 is: 1,622.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.79 : 5,782.19 = 1,081.76 : x
  2. Step 2: Convert to fraction form
    3,854.79/5,782.19 = 1,081.76/x
  3. Step 3: Cross multiply
    3,854.79x = 5,782.19 × 1,081.76
  4. Step 4: Simplify right side
    3,854.79x = 6,254,907.53
  5. Step 5: Solve for x
    x = 6,254,907.53/3,854.79
  6. Step 6: Final answer
    x = 1,622.63

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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.