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Finding the Fourth Proportional to 21,601, 32,398.72 and 6,808.64

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Solution

The fourth proportional to 21,601, 32,398.72 and 6,808.64 is: 10,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,601 : 32,398.72 = 6,808.64 : x
  2. Step 2: Convert to fraction form
    21,601/32,398.72 = 6,808.64/x
  3. Step 3: Cross multiply
    21,601x = 32,398.72 × 6,808.64
  4. Step 4: Simplify right side
    21,601x = 220,591,220.94
  5. Step 5: Solve for x
    x = 220,591,220.94/21,601
  6. Step 6: Final answer
    x = 10,212.08

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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.