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Finding the Fourth Proportional to 3,853.70, 5,780.51 and 1,221.45

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Solution

The fourth proportional to 3,853.70, 5,780.51 and 1,221.45 is: 1,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.70 : 5,780.51 = 1,221.45 : x
  2. Step 2: Convert to fraction form
    3,853.70/5,780.51 = 1,221.45/x
  3. Step 3: Cross multiply
    3,853.70x = 5,780.51 × 1,221.45
  4. Step 4: Simplify right side
    3,853.70x = 7,060,597.83
  5. Step 5: Solve for x
    x = 7,060,597.83/3,853.70
  6. Step 6: Final answer
    x = 1,832.16

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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.