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Finding the Fourth Proportional to 3,654.44, 5,482.20 and 1,345.76

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Solution

The fourth proportional to 3,654.44, 5,482.20 and 1,345.76 is: 2,018.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.44 : 5,482.20 = 1,345.76 : x
  2. Step 2: Convert to fraction form
    3,654.44/5,482.20 = 1,345.76/x
  3. Step 3: Cross multiply
    3,654.44x = 5,482.20 × 1,345.76
  4. Step 4: Simplify right side
    3,654.44x = 7,377,725.47
  5. Step 5: Solve for x
    x = 7,377,725.47/3,654.44
  6. Step 6: Final answer
    x = 2,018.84

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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.