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Finding the Fourth Proportional to 7,761,398.86, 11,642,817.84 and 2,642,108.82

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Solution

The fourth proportional to 7,761,398.86, 11,642,817.84 and 2,642,108.82 is: 3,963,408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761,398.86 : 11,642,817.84 = 2,642,108.82 : x
  2. Step 2: Convert to fraction form
    7,761,398.86/11,642,817.84 = 2,642,108.82/x
  3. Step 3: Cross multiply
    7,761,398.86x = 11,642,817.84 × 2,642,108.82
  4. Step 4: Simplify right side
    7,761,398.86x = 30,761,591,704,717.35
  5. Step 5: Solve for x
    x = 30,761,591,704,717.35/7,761,398.86
  6. Step 6: Final answer
    x = 3,963,408.18

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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.