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Finding the Fourth Proportional to 3,363.42, 4,641.42 and 1,871.28

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Solution

The fourth proportional to 3,363.42, 4,641.42 and 1,871.28 is: 2,582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.42 : 4,641.42 = 1,871.28 : x
  2. Step 2: Convert to fraction form
    3,363.42/4,641.42 = 1,871.28/x
  3. Step 3: Cross multiply
    3,363.42x = 4,641.42 × 1,871.28
  4. Step 4: Simplify right side
    3,363.42x = 8,685,396.42
  5. Step 5: Solve for x
    x = 8,685,396.42/3,363.42
  6. Step 6: Final answer
    x = 2,582.31

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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.