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Finding the Fourth Proportional to 29,070, 43,620.75 and 22,509

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Solution

The fourth proportional to 29,070, 43,620.75 and 22,509 is: 33,775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,070 : 43,620.75 = 22,509 : x
  2. Step 2: Convert to fraction form
    29,070/43,620.75 = 22,509/x
  3. Step 3: Cross multiply
    29,070x = 43,620.75 × 22,509
  4. Step 4: Simplify right side
    29,070x = 981,859,461.75
  5. Step 5: Solve for x
    x = 981,859,461.75/29,070
  6. Step 6: Final answer
    x = 33,775.70

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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.