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Finding the Fourth Proportional to 7,847.57, 11,771.36 and 4,927.93

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Solution

The fourth proportional to 7,847.57, 11,771.36 and 4,927.93 is: 7,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.57 : 11,771.36 = 4,927.93 : x
  2. Step 2: Convert to fraction form
    7,847.57/11,771.36 = 4,927.93/x
  3. Step 3: Cross multiply
    7,847.57x = 11,771.36 × 4,927.93
  4. Step 4: Simplify right side
    7,847.57x = 58,008,438.08
  5. Step 5: Solve for x
    x = 58,008,438.08/7,847.57
  6. Step 6: Final answer
    x = 7,391.90

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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.