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Finding the Fourth Proportional to 19,927.80, 29,859.30 and 17,141.40

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Solution

The fourth proportional to 19,927.80, 29,859.30 and 17,141.40 is: 25,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,927.80 : 29,859.30 = 17,141.40 : x
  2. Step 2: Convert to fraction form
    19,927.80/29,859.30 = 17,141.40/x
  3. Step 3: Cross multiply
    19,927.80x = 29,859.30 × 17,141.40
  4. Step 4: Simplify right side
    19,927.80x = 511,830,205.02
  5. Step 5: Solve for x
    x = 511,830,205.02/19,927.80
  6. Step 6: Final answer
    x = 25,684.23

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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.