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Finding the Fourth Proportional to 40,508, 60,772.80 and 12,806

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Solution

The fourth proportional to 40,508, 60,772.80 and 12,806 is: 19,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,508 : 60,772.80 = 12,806 : x
  2. Step 2: Convert to fraction form
    40,508/60,772.80 = 12,806/x
  3. Step 3: Cross multiply
    40,508x = 60,772.80 × 12,806
  4. Step 4: Simplify right side
    40,508x = 778,256,476.80
  5. Step 5: Solve for x
    x = 778,256,476.80/40,508
  6. Step 6: Final answer
    x = 19,212.41

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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.