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Finding the Fourth Proportional to 27,215.45, 40,824.70 and 8,498.07

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Solution

The fourth proportional to 27,215.45, 40,824.70 and 8,498.07 is: 12,747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,215.45 : 40,824.70 = 8,498.07 : x
  2. Step 2: Convert to fraction form
    27,215.45/40,824.70 = 8,498.07/x
  3. Step 3: Cross multiply
    27,215.45x = 40,824.70 × 8,498.07
  4. Step 4: Simplify right side
    27,215.45x = 346,931,137.08
  5. Step 5: Solve for x
    x = 346,931,137.08/27,215.45
  6. Step 6: Final answer
    x = 12,747.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.