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Finding the Fourth Proportional to 6,961.04, 9,606.36 and 3,817.20

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Solution

The fourth proportional to 6,961.04, 9,606.36 and 3,817.20 is: 5,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.04 : 9,606.36 = 3,817.20 : x
  2. Step 2: Convert to fraction form
    6,961.04/9,606.36 = 3,817.20/x
  3. Step 3: Cross multiply
    6,961.04x = 9,606.36 × 3,817.20
  4. Step 4: Simplify right side
    6,961.04x = 36,669,397.39
  5. Step 5: Solve for x
    x = 36,669,397.39/6,961.04
  6. Step 6: Final answer
    x = 5,267.80

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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.