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Finding the Fourth Proportional to 27,991.34, 41,978.38 and 9,267.52

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Solution

The fourth proportional to 27,991.34, 41,978.38 and 9,267.52 is: 13,898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,991.34 : 41,978.38 = 9,267.52 : x
  2. Step 2: Convert to fraction form
    27,991.34/41,978.38 = 9,267.52/x
  3. Step 3: Cross multiply
    27,991.34x = 41,978.38 × 9,267.52
  4. Step 4: Simplify right side
    27,991.34x = 389,035,476.22
  5. Step 5: Solve for x
    x = 389,035,476.22/27,991.34
  6. Step 6: Final answer
    x = 13,898.42

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1.5x scale

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.