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Finding the Fourth Proportional to 19,278, 26,604.45 and 10,894.50

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Solution

The fourth proportional to 19,278, 26,604.45 and 10,894.50 is: 15,034.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,278 : 26,604.45 = 10,894.50 : x
  2. Step 2: Convert to fraction form
    19,278/26,604.45 = 10,894.50/x
  3. Step 3: Cross multiply
    19,278x = 26,604.45 × 10,894.50
  4. Step 4: Simplify right side
    19,278x = 289,842,180.53
  5. Step 5: Solve for x
    x = 289,842,180.53/19,278
  6. Step 6: Final answer
    x = 15,034.87

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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.