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Finding the Fourth Proportional to 6,972.74, 9,622.74 and 3,988.70

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Solution

The fourth proportional to 6,972.74, 9,622.74 and 3,988.70 is: 5,504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.74 : 9,622.74 = 3,988.70 : x
  2. Step 2: Convert to fraction form
    6,972.74/9,622.74 = 3,988.70/x
  3. Step 3: Cross multiply
    6,972.74x = 9,622.74 × 3,988.70
  4. Step 4: Simplify right side
    6,972.74x = 38,382,223.04
  5. Step 5: Solve for x
    x = 38,382,223.04/6,972.74
  6. Step 6: Final answer
    x = 5,504.61

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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.