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Finding the Fourth Proportional to 19,619, 29,428.78 and 10,871

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Solution

The fourth proportional to 19,619, 29,428.78 and 10,871 is: 16,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,619 : 29,428.78 = 10,871 : x
  2. Step 2: Convert to fraction form
    19,619/29,428.78 = 10,871/x
  3. Step 3: Cross multiply
    19,619x = 29,428.78 × 10,871
  4. Step 4: Simplify right side
    19,619x = 319,920,267.38
  5. Step 5: Solve for x
    x = 319,920,267.38/19,619
  6. Step 6: Final answer
    x = 16,306.66

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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.