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Finding the Fourth Proportional to 38,769, 53,501.22 and 21,105

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Solution

The fourth proportional to 38,769, 53,501.22 and 21,105 is: 29,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,769 : 53,501.22 = 21,105 : x
  2. Step 2: Convert to fraction form
    38,769/53,501.22 = 21,105/x
  3. Step 3: Cross multiply
    38,769x = 53,501.22 × 21,105
  4. Step 4: Simplify right side
    38,769x = 1,129,143,248.10
  5. Step 5: Solve for x
    x = 1,129,143,248.10/38,769
  6. Step 6: Final answer
    x = 29,124.90

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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.