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Finding the Fourth Proportional to 3,363.78, 4,642.02 and 1,871.70

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Solution

The fourth proportional to 3,363.78, 4,642.02 and 1,871.70 is: 2,582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.78 : 4,642.02 = 1,871.70 : x
  2. Step 2: Convert to fraction form
    3,363.78/4,642.02 = 1,871.70/x
  3. Step 3: Cross multiply
    3,363.78x = 4,642.02 × 1,871.70
  4. Step 4: Simplify right side
    3,363.78x = 8,688,468.83
  5. Step 5: Solve for x
    x = 8,688,468.83/3,363.78
  6. Step 6: Final answer
    x = 2,582.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.