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Finding the Fourth Proportional to 26,954, 37,199.76 and 15,776

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Solution

The fourth proportional to 26,954, 37,199.76 and 15,776 is: 21,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,954 : 37,199.76 = 15,776 : x
  2. Step 2: Convert to fraction form
    26,954/37,199.76 = 15,776/x
  3. Step 3: Cross multiply
    26,954x = 37,199.76 × 15,776
  4. Step 4: Simplify right side
    26,954x = 586,863,413.76
  5. Step 5: Solve for x
    x = 586,863,413.76/26,954
  6. Step 6: Final answer
    x = 21,772.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.