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Finding the Fourth Proportional to 7,816.51, 11,710.05 and 3,863.17

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Solution

The fourth proportional to 7,816.51, 11,710.05 and 3,863.17 is: 5,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.51 : 11,710.05 = 3,863.17 : x
  2. Step 2: Convert to fraction form
    7,816.51/11,710.05 = 3,863.17/x
  3. Step 3: Cross multiply
    7,816.51x = 11,710.05 × 3,863.17
  4. Step 4: Simplify right side
    7,816.51x = 45,237,845.65
  5. Step 5: Solve for x
    x = 45,237,845.65/7,816.51
  6. Step 6: Final answer
    x = 5,787.48

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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.