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Finding the Fourth Proportional to 19,338, 26,690.22 and 10,954.50

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Solution

The fourth proportional to 19,338, 26,690.22 and 10,954.50 is: 15,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,338 : 26,690.22 = 10,954.50 : x
  2. Step 2: Convert to fraction form
    19,338/26,690.22 = 10,954.50/x
  3. Step 3: Cross multiply
    19,338x = 26,690.22 × 10,954.50
  4. Step 4: Simplify right side
    19,338x = 292,378,014.99
  5. Step 5: Solve for x
    x = 292,378,014.99/19,338
  6. Step 6: Final answer
    x = 15,119.35

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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.