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Finding the Fourth Proportional to 2,927.81, 4,391.94 and 847.85

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Solution

The fourth proportional to 2,927.81, 4,391.94 and 847.85 is: 1,271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.81 : 4,391.94 = 847.85 : x
  2. Step 2: Convert to fraction form
    2,927.81/4,391.94 = 847.85/x
  3. Step 3: Cross multiply
    2,927.81x = 4,391.94 × 847.85
  4. Step 4: Simplify right side
    2,927.81x = 3,723,686.49
  5. Step 5: Solve for x
    x = 3,723,686.49/2,927.81
  6. Step 6: Final answer
    x = 1,271.83

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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.