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Finding the Fourth Proportional to 7,758.36, 11,572.44 and 7,121.52

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Solution

The fourth proportional to 7,758.36, 11,572.44 and 7,121.52 is: 10,622.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.36 : 11,572.44 = 7,121.52 : x
  2. Step 2: Convert to fraction form
    7,758.36/11,572.44 = 7,121.52/x
  3. Step 3: Cross multiply
    7,758.36x = 11,572.44 × 7,121.52
  4. Step 4: Simplify right side
    7,758.36x = 82,413,362.91
  5. Step 5: Solve for x
    x = 82,413,362.91/7,758.36
  6. Step 6: Final answer
    x = 10,622.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.