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Finding the Fourth Proportional to 8,545.85, 12,823 and 3,865.37

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Solution

The fourth proportional to 8,545.85, 12,823 and 3,865.37 is: 5,799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,545.85 : 12,823 = 3,865.37 : x
  2. Step 2: Convert to fraction form
    8,545.85/12,823 = 3,865.37/x
  3. Step 3: Cross multiply
    8,545.85x = 12,823 × 3,865.37
  4. Step 4: Simplify right side
    8,545.85x = 49,565,639.51
  5. Step 5: Solve for x
    x = 49,565,639.51/8,545.85
  6. Step 6: Final answer
    x = 5,799.97

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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.