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Finding the Fourth Proportional to 3,681.64, 5,524.74 and 1,490.39

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Solution

The fourth proportional to 3,681.64, 5,524.74 and 1,490.39 is: 2,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.64 : 5,524.74 = 1,490.39 : x
  2. Step 2: Convert to fraction form
    3,681.64/5,524.74 = 1,490.39/x
  3. Step 3: Cross multiply
    3,681.64x = 5,524.74 × 1,490.39
  4. Step 4: Simplify right side
    3,681.64x = 8,234,017.25
  5. Step 5: Solve for x
    x = 8,234,017.25/3,681.64
  6. Step 6: Final answer
    x = 2,236.51

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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.