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Finding the Fourth Proportional to 2,806.30, 4,209.86 and 858.66

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Solution

The fourth proportional to 2,806.30, 4,209.86 and 858.66 is: 1,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.30 : 4,209.86 = 858.66 : x
  2. Step 2: Convert to fraction form
    2,806.30/4,209.86 = 858.66/x
  3. Step 3: Cross multiply
    2,806.30x = 4,209.86 × 858.66
  4. Step 4: Simplify right side
    2,806.30x = 3,614,838.39
  5. Step 5: Solve for x
    x = 3,614,838.39/2,806.30
  6. Step 6: Final answer
    x = 1,288.12

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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.