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Finding the Fourth Proportional to 19,808.82, 29,676.78 and 12,411.90

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Solution

The fourth proportional to 19,808.82, 29,676.78 and 12,411.90 is: 18,595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,808.82 : 29,676.78 = 12,411.90 : x
  2. Step 2: Convert to fraction form
    19,808.82/29,676.78 = 12,411.90/x
  3. Step 3: Cross multiply
    19,808.82x = 29,676.78 × 12,411.90
  4. Step 4: Simplify right side
    19,808.82x = 368,345,225.68
  5. Step 5: Solve for x
    x = 368,345,225.68/19,808.82
  6. Step 6: Final answer
    x = 18,595.01

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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.