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Finding the Fourth Proportional to 8,264.70, 12,398.76 and 2,420.82

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Solution

The fourth proportional to 8,264.70, 12,398.76 and 2,420.82 is: 3,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.70 : 12,398.76 = 2,420.82 : x
  2. Step 2: Convert to fraction form
    8,264.70/12,398.76 = 2,420.82/x
  3. Step 3: Cross multiply
    8,264.70x = 12,398.76 × 2,420.82
  4. Step 4: Simplify right side
    8,264.70x = 30,015,166.18
  5. Step 5: Solve for x
    x = 30,015,166.18/8,264.70
  6. Step 6: Final answer
    x = 3,631.73

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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.