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Finding the Fourth Proportional to 6,847.70, 9,441.27 and 5,715.00

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Solution

The fourth proportional to 6,847.70, 9,441.27 and 5,715.00 is: 7,879.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.70 : 9,441.27 = 5,715.00 : x
  2. Step 2: Convert to fraction form
    6,847.70/9,441.27 = 5,715.00/x
  3. Step 3: Cross multiply
    6,847.70x = 9,441.27 × 5,715.00
  4. Step 4: Simplify right side
    6,847.70x = 53,956,860.22
  5. Step 5: Solve for x
    x = 53,956,860.22/6,847.70
  6. Step 6: Final answer
    x = 7,879.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.