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Finding the Fourth Proportional to 8,569.86, 12,855.15 and 4,191

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Solution

The fourth proportional to 8,569.86, 12,855.15 and 4,191 is: 6,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.86 : 12,855.15 = 4,191 : x
  2. Step 2: Convert to fraction form
    8,569.86/12,855.15 = 4,191/x
  3. Step 3: Cross multiply
    8,569.86x = 12,855.15 × 4,191
  4. Step 4: Simplify right side
    8,569.86x = 53,875,933.65
  5. Step 5: Solve for x
    x = 53,875,933.65/8,569.86
  6. Step 6: Final answer
    x = 6,286.68

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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.