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Finding the Fourth Proportional to 40,866, 61,299 and 13,164

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Solution

The fourth proportional to 40,866, 61,299 and 13,164 is: 19,746

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,866 : 61,299 = 13,164 : x
  2. Step 2: Convert to fraction form
    40,866/61,299 = 13,164/x
  3. Step 3: Cross multiply
    40,866x = 61,299 × 13,164
  4. Step 4: Simplify right side
    40,866x = 806,940,036
  5. Step 5: Solve for x
    x = 806,940,036/40,866
  6. Step 6: Final answer
    x = 19,746

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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.