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Finding the Fourth Proportional to 7,709.57, 11,555.24 and 3,545.76

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Solution

The fourth proportional to 7,709.57, 11,555.24 and 3,545.76 is: 5,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.57 : 11,555.24 = 3,545.76 : x
  2. Step 2: Convert to fraction form
    7,709.57/11,555.24 = 3,545.76/x
  3. Step 3: Cross multiply
    7,709.57x = 11,555.24 × 3,545.76
  4. Step 4: Simplify right side
    7,709.57x = 40,972,107.78
  5. Step 5: Solve for x
    x = 40,972,107.78/7,709.57
  6. Step 6: Final answer
    x = 5,314.45

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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.