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Finding the Fourth Proportional to 19,929.44, 29,897.81 and 8,243.57

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Solution

The fourth proportional to 19,929.44, 29,897.81 and 8,243.57 is: 12,366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,929.44 : 29,897.81 = 8,243.57 : x
  2. Step 2: Convert to fraction form
    19,929.44/29,897.81 = 8,243.57/x
  3. Step 3: Cross multiply
    19,929.44x = 29,897.81 × 8,243.57
  4. Step 4: Simplify right side
    19,929.44x = 246,464,754.02
  5. Step 5: Solve for x
    x = 246,464,754.02/19,929.44
  6. Step 6: Final answer
    x = 12,366.87

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1.5x scale

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.