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Finding the Fourth Proportional to 21,998.02, 32,997.03 and 6,416.90

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Solution

The fourth proportional to 21,998.02, 32,997.03 and 6,416.90 is: 9,625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,998.02 : 32,997.03 = 6,416.90 : x
  2. Step 2: Convert to fraction form
    21,998.02/32,997.03 = 6,416.90/x
  3. Step 3: Cross multiply
    21,998.02x = 32,997.03 × 6,416.90
  4. Step 4: Simplify right side
    21,998.02x = 211,738,641.81
  5. Step 5: Solve for x
    x = 211,738,641.81/21,998.02
  6. Step 6: Final answer
    x = 9,625.35

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Similar ratio
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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.