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Finding the Fourth Proportional to 40,770, 61,163.78 and 12,689.46

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Solution

The fourth proportional to 40,770, 61,163.78 and 12,689.46 is: 19,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,770 : 61,163.78 = 12,689.46 : x
  2. Step 2: Convert to fraction form
    40,770/61,163.78 = 12,689.46/x
  3. Step 3: Cross multiply
    40,770x = 61,163.78 × 12,689.46
  4. Step 4: Simplify right side
    40,770x = 776,135,276.31
  5. Step 5: Solve for x
    x = 776,135,276.31/40,770
  6. Step 6: Final answer
    x = 19,036.92

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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.