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Finding the Fourth Proportional to 6,981.04, 9,633.16 and 3,996.24

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Solution

The fourth proportional to 6,981.04, 9,633.16 and 3,996.24 is: 5,514.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.04 : 9,633.16 = 3,996.24 : x
  2. Step 2: Convert to fraction form
    6,981.04/9,633.16 = 3,996.24/x
  3. Step 3: Cross multiply
    6,981.04x = 9,633.16 × 3,996.24
  4. Step 4: Simplify right side
    6,981.04x = 38,496,419.32
  5. Step 5: Solve for x
    x = 38,496,419.32/6,981.04
  6. Step 6: Final answer
    x = 5,514.42

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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.