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Finding the Fourth Proportional to 19,549, 29,305.28 and 7,709.20

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Solution

The fourth proportional to 19,549, 29,305.28 and 7,709.20 is: 11,556.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,549 : 29,305.28 = 7,709.20 : x
  2. Step 2: Convert to fraction form
    19,549/29,305.28 = 7,709.20/x
  3. Step 3: Cross multiply
    19,549x = 29,305.28 × 7,709.20
  4. Step 4: Simplify right side
    19,549x = 225,920,264.58
  5. Step 5: Solve for x
    x = 225,920,264.58/19,549
  6. Step 6: Final answer
    x = 11,556.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.