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Finding the Fourth Proportional to 43,607.57, 65,411.42 and 12,442.82

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Solution

The fourth proportional to 43,607.57, 65,411.42 and 12,442.82 is: 18,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,607.57 : 65,411.42 = 12,442.82 : x
  2. Step 2: Convert to fraction form
    43,607.57/65,411.42 = 12,442.82/x
  3. Step 3: Cross multiply
    43,607.57x = 65,411.42 × 12,442.82
  4. Step 4: Simplify right side
    43,607.57x = 813,902,135.73
  5. Step 5: Solve for x
    x = 813,902,135.73/43,607.57
  6. Step 6: Final answer
    x = 18,664.24

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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.