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Finding the Fourth Proportional to 19,561, 26,994.22 and 11,177.48

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Solution

The fourth proportional to 19,561, 26,994.22 and 11,177.48 is: 15,424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,561 : 26,994.22 = 11,177.48 : x
  2. Step 2: Convert to fraction form
    19,561/26,994.22 = 11,177.48/x
  3. Step 3: Cross multiply
    19,561x = 26,994.22 × 11,177.48
  4. Step 4: Simplify right side
    19,561x = 301,727,354.17
  5. Step 5: Solve for x
    x = 301,727,354.17/19,561
  6. Step 6: Final answer
    x = 15,424.95

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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.