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Finding the Fourth Proportional to 3,652.78, 5,478.67 and 1,187.62

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Solution

The fourth proportional to 3,652.78, 5,478.67 and 1,187.62 is: 1,781.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.78 : 5,478.67 = 1,187.62 : x
  2. Step 2: Convert to fraction form
    3,652.78/5,478.67 = 1,187.62/x
  3. Step 3: Cross multiply
    3,652.78x = 5,478.67 × 1,187.62
  4. Step 4: Simplify right side
    3,652.78x = 6,506,578.07
  5. Step 5: Solve for x
    x = 6,506,578.07/3,652.78
  6. Step 6: Final answer
    x = 1,781.27

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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.