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Finding the Fourth Proportional to 3,981.15, 5,974.65 and 1,484.64

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Solution

The fourth proportional to 3,981.15, 5,974.65 and 1,484.64 is: 2,228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.15 : 5,974.65 = 1,484.64 : x
  2. Step 2: Convert to fraction form
    3,981.15/5,974.65 = 1,484.64/x
  3. Step 3: Cross multiply
    3,981.15x = 5,974.65 × 1,484.64
  4. Step 4: Simplify right side
    3,981.15x = 8,870,204.38
  5. Step 5: Solve for x
    x = 8,870,204.38/3,981.15
  6. Step 6: Final answer
    x = 2,228.05

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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.