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Finding the Fourth Proportional to 19,911.29, 29,859.81 and 6,581.81

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Solution

The fourth proportional to 19,911.29, 29,859.81 and 6,581.81 is: 9,870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,911.29 : 29,859.81 = 6,581.81 : x
  2. Step 2: Convert to fraction form
    19,911.29/29,859.81 = 6,581.81/x
  3. Step 3: Cross multiply
    19,911.29x = 29,859.81 × 6,581.81
  4. Step 4: Simplify right side
    19,911.29x = 196,531,446.76
  5. Step 5: Solve for x
    x = 196,531,446.76/19,911.29
  6. Step 6: Final answer
    x = 9,870.35

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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.