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Finding the Fourth Proportional to 42,469, 63,769.26 and 22,786

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Solution

The fourth proportional to 42,469, 63,769.26 and 22,786 is: 34,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,469 : 63,769.26 = 22,786 : x
  2. Step 2: Convert to fraction form
    42,469/63,769.26 = 22,786/x
  3. Step 3: Cross multiply
    42,469x = 63,769.26 × 22,786
  4. Step 4: Simplify right side
    42,469x = 1,453,046,358.36
  5. Step 5: Solve for x
    x = 1,453,046,358.36/42,469
  6. Step 6: Final answer
    x = 34,214.28

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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.