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Finding the Fourth Proportional to 19,859.31, 29,781.18 and 7,206.06

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Solution

The fourth proportional to 19,859.31, 29,781.18 and 7,206.06 is: 10,806.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859.31 : 29,781.18 = 7,206.06 : x
  2. Step 2: Convert to fraction form
    19,859.31/29,781.18 = 7,206.06/x
  3. Step 3: Cross multiply
    19,859.31x = 29,781.18 × 7,206.06
  4. Step 4: Simplify right side
    19,859.31x = 214,604,969.95
  5. Step 5: Solve for x
    x = 214,604,969.95/19,859.31
  6. Step 6: Final answer
    x = 10,806.27

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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.