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Finding the Fourth Proportional to 19,878.86, 29,819.10 and 7,402.03

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Solution

The fourth proportional to 19,878.86, 29,819.10 and 7,402.03 is: 11,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.86 : 29,819.10 = 7,402.03 : x
  2. Step 2: Convert to fraction form
    19,878.86/29,819.10 = 7,402.03/x
  3. Step 3: Cross multiply
    19,878.86x = 29,819.10 × 7,402.03
  4. Step 4: Simplify right side
    19,878.86x = 220,721,872.77
  5. Step 5: Solve for x
    x = 220,721,872.77/19,878.86
  6. Step 6: Final answer
    x = 11,103.35

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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.