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Finding the Fourth Proportional to 21,816.32, 32,722.65 and 8,665.16

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Solution

The fourth proportional to 21,816.32, 32,722.65 and 8,665.16 is: 12,997.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,816.32 : 32,722.65 = 8,665.16 : x
  2. Step 2: Convert to fraction form
    21,816.32/32,722.65 = 8,665.16/x
  3. Step 3: Cross multiply
    21,816.32x = 32,722.65 × 8,665.16
  4. Step 4: Simplify right side
    21,816.32x = 283,546,954.55
  5. Step 5: Solve for x
    x = 283,546,954.55/21,816.32
  6. Step 6: Final answer
    x = 12,997.01

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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.