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Finding the Fourth Proportional to 6,900.39, 10,349.11 and 1,968.70

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Solution

The fourth proportional to 6,900.39, 10,349.11 and 1,968.70 is: 2,952.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.39 : 10,349.11 = 1,968.70 : x
  2. Step 2: Convert to fraction form
    6,900.39/10,349.11 = 1,968.70/x
  3. Step 3: Cross multiply
    6,900.39x = 10,349.11 × 1,968.70
  4. Step 4: Simplify right side
    6,900.39x = 20,374,283.01
  5. Step 5: Solve for x
    x = 20,374,283.01/6,900.39
  6. Step 6: Final answer
    x = 2,952.63

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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.