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Finding the Fourth Proportional to 6,990.68, 9,647.39 and 4,007.09

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Solution

The fourth proportional to 6,990.68, 9,647.39 and 4,007.09 is: 5,529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.68 : 9,647.39 = 4,007.09 : x
  2. Step 2: Convert to fraction form
    6,990.68/9,647.39 = 4,007.09/x
  3. Step 3: Cross multiply
    6,990.68x = 9,647.39 × 4,007.09
  4. Step 4: Simplify right side
    6,990.68x = 38,657,921.78
  5. Step 5: Solve for x
    x = 38,657,921.78/6,990.68
  6. Step 6: Final answer
    x = 5,529.93

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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.