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Finding the Fourth Proportional to 6,974.64, 9,622.65 and 3,988.35

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Solution

The fourth proportional to 6,974.64, 9,622.65 and 3,988.35 is: 5,502.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.64 : 9,622.65 = 3,988.35 : x
  2. Step 2: Convert to fraction form
    6,974.64/9,622.65 = 3,988.35/x
  3. Step 3: Cross multiply
    6,974.64x = 9,622.65 × 3,988.35
  4. Step 4: Simplify right side
    6,974.64x = 38,378,496.13
  5. Step 5: Solve for x
    x = 38,378,496.13/6,974.64
  6. Step 6: Final answer
    x = 5,502.58

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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.