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Finding the Fourth Proportional to 21,612.91, 32,419.37 and 6,822.98

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Solution

The fourth proportional to 21,612.91, 32,419.37 and 6,822.98 is: 10,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,612.91 : 32,419.37 = 6,822.98 : x
  2. Step 2: Convert to fraction form
    21,612.91/32,419.37 = 6,822.98/x
  3. Step 3: Cross multiply
    21,612.91x = 32,419.37 × 6,822.98
  4. Step 4: Simplify right side
    21,612.91x = 221,196,713.12
  5. Step 5: Solve for x
    x = 221,196,713.12/21,612.91
  6. Step 6: Final answer
    x = 10,234.47

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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.