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Finding the Fourth Proportional to 6,478.72, 9,718.99 and 3,191.85

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Solution

The fourth proportional to 6,478.72, 9,718.99 and 3,191.85 is: 4,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.72 : 9,718.99 = 3,191.85 : x
  2. Step 2: Convert to fraction form
    6,478.72/9,718.99 = 3,191.85/x
  3. Step 3: Cross multiply
    6,478.72x = 9,718.99 × 3,191.85
  4. Step 4: Simplify right side
    6,478.72x = 31,021,558.23
  5. Step 5: Solve for x
    x = 31,021,558.23/6,478.72
  6. Step 6: Final answer
    x = 4,788.22

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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.