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Finding the Fourth Proportional to 7,165.77, 10,747.22 and 5,787.09

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Solution

The fourth proportional to 7,165.77, 10,747.22 and 5,787.09 is: 8,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.77 : 10,747.22 = 5,787.09 : x
  2. Step 2: Convert to fraction form
    7,165.77/10,747.22 = 5,787.09/x
  3. Step 3: Cross multiply
    7,165.77x = 10,747.22 × 5,787.09
  4. Step 4: Simplify right side
    7,165.77x = 62,195,100.45
  5. Step 5: Solve for x
    x = 62,195,100.45/7,165.77
  6. Step 6: Final answer
    x = 8,679.47

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1.5x scale

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.