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Finding the Fourth Proportional to 3,049.86, 4,574.97 and 858.77

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Solution

The fourth proportional to 3,049.86, 4,574.97 and 858.77 is: 1,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.86 : 4,574.97 = 858.77 : x
  2. Step 2: Convert to fraction form
    3,049.86/4,574.97 = 858.77/x
  3. Step 3: Cross multiply
    3,049.86x = 4,574.97 × 858.77
  4. Step 4: Simplify right side
    3,049.86x = 3,928,841.27
  5. Step 5: Solve for x
    x = 3,928,841.27/3,049.86
  6. Step 6: Final answer
    x = 1,288.20

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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.