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Finding the Fourth Proportional to 21,997.52, 32,996.28 and 6,416.40

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Solution

The fourth proportional to 21,997.52, 32,996.28 and 6,416.40 is: 9,624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,997.52 : 32,996.28 = 6,416.40 : x
  2. Step 2: Convert to fraction form
    21,997.52/32,996.28 = 6,416.40/x
  3. Step 3: Cross multiply
    21,997.52x = 32,996.28 × 6,416.40
  4. Step 4: Simplify right side
    21,997.52x = 211,717,330.99
  5. Step 5: Solve for x
    x = 211,717,330.99/21,997.52
  6. Step 6: Final answer
    x = 9,624.60

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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.