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Finding the Fourth Proportional to 3,237.74, 4,468.48 and 1,821.49

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Solution

The fourth proportional to 3,237.74, 4,468.48 and 1,821.49 is: 2,513.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.74 : 4,468.48 = 1,821.49 : x
  2. Step 2: Convert to fraction form
    3,237.74/4,468.48 = 1,821.49/x
  3. Step 3: Cross multiply
    3,237.74x = 4,468.48 × 1,821.49
  4. Step 4: Simplify right side
    3,237.74x = 8,139,283.77
  5. Step 5: Solve for x
    x = 8,139,283.77/3,237.74
  6. Step 6: Final answer
    x = 2,513.88

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1.5x scale

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.