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Finding the Fourth Proportional to 27,217.50, 40,826.25 and 8,749.50

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Solution

The fourth proportional to 27,217.50, 40,826.25 and 8,749.50 is: 13,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,217.50 : 40,826.25 = 8,749.50 : x
  2. Step 2: Convert to fraction form
    27,217.50/40,826.25 = 8,749.50/x
  3. Step 3: Cross multiply
    27,217.50x = 40,826.25 × 8,749.50
  4. Step 4: Simplify right side
    27,217.50x = 357,209,274.38
  5. Step 5: Solve for x
    x = 357,209,274.38/27,217.50
  6. Step 6: Final answer
    x = 13,124.25

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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.