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Finding the Fourth Proportional to 27,744, 38,277.36 and 15,798.90

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Solution

The fourth proportional to 27,744, 38,277.36 and 15,798.90 is: 21,797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744 : 38,277.36 = 15,798.90 : x
  2. Step 2: Convert to fraction form
    27,744/38,277.36 = 15,798.90/x
  3. Step 3: Cross multiply
    27,744x = 38,277.36 × 15,798.90
  4. Step 4: Simplify right side
    27,744x = 604,740,182.90
  5. Step 5: Solve for x
    x = 604,740,182.90/27,744
  6. Step 6: Final answer
    x = 21,797.15

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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.