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Finding the Fourth Proportional to 19,810.30, 29,713.99 and 7,324.51

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Solution

The fourth proportional to 19,810.30, 29,713.99 and 7,324.51 is: 10,986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810.30 : 29,713.99 = 7,324.51 : x
  2. Step 2: Convert to fraction form
    19,810.30/29,713.99 = 7,324.51/x
  3. Step 3: Cross multiply
    19,810.30x = 29,713.99 × 7,324.51
  4. Step 4: Simplify right side
    19,810.30x = 217,640,416.89
  5. Step 5: Solve for x
    x = 217,640,416.89/19,810.30
  6. Step 6: Final answer
    x = 10,986.23

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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.