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Finding the Fourth Proportional to 19,808.12, 29,699.22 and 6,656.96

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Solution

The fourth proportional to 19,808.12, 29,699.22 and 6,656.96 is: 9,981.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,808.12 : 29,699.22 = 6,656.96 : x
  2. Step 2: Convert to fraction form
    19,808.12/29,699.22 = 6,656.96/x
  3. Step 3: Cross multiply
    19,808.12x = 29,699.22 × 6,656.96
  4. Step 4: Simplify right side
    19,808.12x = 197,706,519.57
  5. Step 5: Solve for x
    x = 197,706,519.57/19,808.12
  6. Step 6: Final answer
    x = 9,981.08

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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.