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Finding the Fourth Proportional to 21,689.31, 32,533.97 and 11,321.31

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Solution

The fourth proportional to 21,689.31, 32,533.97 and 11,321.31 is: 16,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,689.31 : 32,533.97 = 11,321.31 : x
  2. Step 2: Convert to fraction form
    21,689.31/32,533.97 = 11,321.31/x
  3. Step 3: Cross multiply
    21,689.31x = 32,533.97 × 11,321.31
  4. Step 4: Simplify right side
    21,689.31x = 368,327,103.29
  5. Step 5: Solve for x
    x = 368,327,103.29/21,689.31
  6. Step 6: Final answer
    x = 16,981.97

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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.