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Finding the Fourth Proportional to 3,654.40, 5,482.41 and 1,705.54

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Solution

The fourth proportional to 3,654.40, 5,482.41 and 1,705.54 is: 2,558.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.40 : 5,482.41 = 1,705.54 : x
  2. Step 2: Convert to fraction form
    3,654.40/5,482.41 = 1,705.54/x
  3. Step 3: Cross multiply
    3,654.40x = 5,482.41 × 1,705.54
  4. Step 4: Simplify right side
    3,654.40x = 9,350,459.73
  5. Step 5: Solve for x
    x = 9,350,459.73/3,654.40
  6. Step 6: Final answer
    x = 2,558.69

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1.5x scale

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.