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Finding the Fourth Proportional to 19,290, 26,620.24 and 10,458

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Solution

The fourth proportional to 19,290, 26,620.24 and 10,458 is: 14,432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,290 : 26,620.24 = 10,458 : x
  2. Step 2: Convert to fraction form
    19,290/26,620.24 = 10,458/x
  3. Step 3: Cross multiply
    19,290x = 26,620.24 × 10,458
  4. Step 4: Simplify right side
    19,290x = 278,394,469.92
  5. Step 5: Solve for x
    x = 278,394,469.92/19,290
  6. Step 6: Final answer
    x = 14,432.06

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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.