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Finding the Fourth Proportional to 19,897.09, 29,849.19 and 8,203.93

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Solution

The fourth proportional to 19,897.09, 29,849.19 and 8,203.93 is: 12,307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,897.09 : 29,849.19 = 8,203.93 : x
  2. Step 2: Convert to fraction form
    19,897.09/29,849.19 = 8,203.93/x
  3. Step 3: Cross multiply
    19,897.09x = 29,849.19 × 8,203.93
  4. Step 4: Simplify right side
    19,897.09x = 244,880,665.32
  5. Step 5: Solve for x
    x = 244,880,665.32/19,897.09
  6. Step 6: Final answer
    x = 12,307.36

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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.