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Finding the Fourth Proportional to 6,449.80, 9,665.70 and 5,135.80

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Solution

The fourth proportional to 6,449.80, 9,665.70 and 5,135.80 is: 7,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.80 : 9,665.70 = 5,135.80 : x
  2. Step 2: Convert to fraction form
    6,449.80/9,665.70 = 5,135.80/x
  3. Step 3: Cross multiply
    6,449.80x = 9,665.70 × 5,135.80
  4. Step 4: Simplify right side
    6,449.80x = 49,641,102.06
  5. Step 5: Solve for x
    x = 49,641,102.06/6,449.80
  6. Step 6: Final answer
    x = 7,696.53

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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.