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Finding the Fourth Proportional to 3,816, 5,725.44 and 1,508.40

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Solution

The fourth proportional to 3,816, 5,725.44 and 1,508.40 is: 2,263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816 : 5,725.44 = 1,508.40 : x
  2. Step 2: Convert to fraction form
    3,816/5,725.44 = 1,508.40/x
  3. Step 3: Cross multiply
    3,816x = 5,725.44 × 1,508.40
  4. Step 4: Simplify right side
    3,816x = 8,636,253.70
  5. Step 5: Solve for x
    x = 8,636,253.70/3,816
  6. Step 6: Final answer
    x = 2,263.17

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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.