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Finding the Fourth Proportional to 15,901.92, 21,945.04 and 8,828

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Solution

The fourth proportional to 15,901.92, 21,945.04 and 8,828 is: 12,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,901.92 : 21,945.04 = 8,828 : x
  2. Step 2: Convert to fraction form
    15,901.92/21,945.04 = 8,828/x
  3. Step 3: Cross multiply
    15,901.92x = 21,945.04 × 8,828
  4. Step 4: Simplify right side
    15,901.92x = 193,730,813.12
  5. Step 5: Solve for x
    x = 193,730,813.12/15,901.92
  6. Step 6: Final answer
    x = 12,182.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.