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Finding the Fourth Proportional to 38,526, 53,165.88 and 21,759

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Solution

The fourth proportional to 38,526, 53,165.88 and 21,759 is: 30,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,526 : 53,165.88 = 21,759 : x
  2. Step 2: Convert to fraction form
    38,526/53,165.88 = 21,759/x
  3. Step 3: Cross multiply
    38,526x = 53,165.88 × 21,759
  4. Step 4: Simplify right side
    38,526x = 1,156,836,382.92
  5. Step 5: Solve for x
    x = 1,156,836,382.92/38,526
  6. Step 6: Final answer
    x = 30,027.42

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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.