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Finding the Fourth Proportional to 19,997.94, 29,998 and 5,206.90

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Solution

The fourth proportional to 19,997.94, 29,998 and 5,206.90 is: 7,810.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,997.94 : 29,998 = 5,206.90 : x
  2. Step 2: Convert to fraction form
    19,997.94/29,998 = 5,206.90/x
  3. Step 3: Cross multiply
    19,997.94x = 29,998 × 5,206.90
  4. Step 4: Simplify right side
    19,997.94x = 156,196,586.20
  5. Step 5: Solve for x
    x = 156,196,586.20/19,997.94
  6. Step 6: Final answer
    x = 7,810.63

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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.