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Finding the Fourth Proportional to 21,994.92, 32,994.91 and 6,412.55

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Solution

The fourth proportional to 21,994.92, 32,994.91 and 6,412.55 is: 9,619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,994.92 : 32,994.91 = 6,412.55 : x
  2. Step 2: Convert to fraction form
    21,994.92/32,994.91 = 6,412.55/x
  3. Step 3: Cross multiply
    21,994.92x = 32,994.91 × 6,412.55
  4. Step 4: Simplify right side
    21,994.92x = 211,581,353.16
  5. Step 5: Solve for x
    x = 211,581,353.16/21,994.92
  6. Step 6: Final answer
    x = 9,619.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.