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Finding the Fourth Proportional to 6,971.82, 9,622.88 and 3,988.59

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Solution

The fourth proportional to 6,971.82, 9,622.88 and 3,988.59 is: 5,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.82 : 9,622.88 = 3,988.59 : x
  2. Step 2: Convert to fraction form
    6,971.82/9,622.88 = 3,988.59/x
  3. Step 3: Cross multiply
    6,971.82x = 9,622.88 × 3,988.59
  4. Step 4: Simplify right side
    6,971.82x = 38,381,722.94
  5. Step 5: Solve for x
    x = 38,381,722.94/6,971.82
  6. Step 6: Final answer
    x = 5,505.27

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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.