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Finding the Fourth Proportional to 26,986.55, 40,481.76 and 8,264.15

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Solution

The fourth proportional to 26,986.55, 40,481.76 and 8,264.15 is: 12,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,986.55 : 40,481.76 = 8,264.15 : x
  2. Step 2: Convert to fraction form
    26,986.55/40,481.76 = 8,264.15/x
  3. Step 3: Cross multiply
    26,986.55x = 40,481.76 × 8,264.15
  4. Step 4: Simplify right side
    26,986.55x = 334,547,317.29
  5. Step 5: Solve for x
    x = 334,547,317.29/26,986.55
  6. Step 6: Final answer
    x = 12,396.82

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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.