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Finding the Fourth Proportional to 27,749, 38,293.78 and 17,813

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Solution

The fourth proportional to 27,749, 38,293.78 and 17,813 is: 24,582.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,749 : 38,293.78 = 17,813 : x
  2. Step 2: Convert to fraction form
    27,749/38,293.78 = 17,813/x
  3. Step 3: Cross multiply
    27,749x = 38,293.78 × 17,813
  4. Step 4: Simplify right side
    27,749x = 682,127,103.14
  5. Step 5: Solve for x
    x = 682,127,103.14/27,749
  6. Step 6: Final answer
    x = 24,582.04

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1.5x scale

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.