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Finding the Fourth Proportional to 7,815.79, 11,727.79 and 3,436.32

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Solution

The fourth proportional to 7,815.79, 11,727.79 and 3,436.32 is: 5,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.79 : 11,727.79 = 3,436.32 : x
  2. Step 2: Convert to fraction form
    7,815.79/11,727.79 = 3,436.32/x
  3. Step 3: Cross multiply
    7,815.79x = 11,727.79 × 3,436.32
  4. Step 4: Simplify right side
    7,815.79x = 40,300,474.72
  5. Step 5: Solve for x
    x = 40,300,474.72/7,815.79
  6. Step 6: Final answer
    x = 5,156.29

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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.