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Finding the Fourth Proportional to 3,652.68, 5,478.78 and 1,459.83

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Solution

The fourth proportional to 3,652.68, 5,478.78 and 1,459.83 is: 2,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.68 : 5,478.78 = 1,459.83 : x
  2. Step 2: Convert to fraction form
    3,652.68/5,478.78 = 1,459.83/x
  3. Step 3: Cross multiply
    3,652.68x = 5,478.78 × 1,459.83
  4. Step 4: Simplify right side
    3,652.68x = 7,998,087.41
  5. Step 5: Solve for x
    x = 7,998,087.41/3,652.68
  6. Step 6: Final answer
    x = 2,189.65

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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.