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Finding the Fourth Proportional to 21,221.92, 31,832.61 and 12,904.21

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Solution

The fourth proportional to 21,221.92, 31,832.61 and 12,904.21 is: 19,356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221.92 : 31,832.61 = 12,904.21 : x
  2. Step 2: Convert to fraction form
    21,221.92/31,832.61 = 12,904.21/x
  3. Step 3: Cross multiply
    21,221.92x = 31,832.61 × 12,904.21
  4. Step 4: Simplify right side
    21,221.92x = 410,774,684.29
  5. Step 5: Solve for x
    x = 410,774,684.29/21,221.92
  6. Step 6: Final answer
    x = 19,356.15

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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.