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Finding the Fourth Proportional to 27,986.34, 41,969.63 and 8,259.62

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Solution

The fourth proportional to 27,986.34, 41,969.63 and 8,259.62 is: 12,386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,986.34 : 41,969.63 = 8,259.62 : x
  2. Step 2: Convert to fraction form
    27,986.34/41,969.63 = 8,259.62/x
  3. Step 3: Cross multiply
    27,986.34x = 41,969.63 × 8,259.62
  4. Step 4: Simplify right side
    27,986.34x = 346,653,195.34
  5. Step 5: Solve for x
    x = 346,653,195.34/27,986.34
  6. Step 6: Final answer
    x = 12,386.51

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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.