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Finding the Fourth Proportional to 26,987, 40,486.98 and 8,519

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Solution

The fourth proportional to 26,987, 40,486.98 and 8,519 is: 12,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,987 : 40,486.98 = 8,519 : x
  2. Step 2: Convert to fraction form
    26,987/40,486.98 = 8,519/x
  3. Step 3: Cross multiply
    26,987x = 40,486.98 × 8,519
  4. Step 4: Simplify right side
    26,987x = 344,908,582.62
  5. Step 5: Solve for x
    x = 344,908,582.62/26,987
  6. Step 6: Final answer
    x = 12,780.55

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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.