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Finding the Fourth Proportional to 27,987.86, 41,981.82 and 8,264.90

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Solution

The fourth proportional to 27,987.86, 41,981.82 and 8,264.90 is: 12,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,987.86 : 41,981.82 = 8,264.90 : x
  2. Step 2: Convert to fraction form
    27,987.86/41,981.82 = 8,264.90/x
  3. Step 3: Cross multiply
    27,987.86x = 41,981.82 × 8,264.90
  4. Step 4: Simplify right side
    27,987.86x = 346,975,544.12
  5. Step 5: Solve for x
    x = 346,975,544.12/27,987.86
  6. Step 6: Final answer
    x = 12,397.36

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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.