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Finding the Fourth Proportional to 19,813.31, 29,731.41 and 7,342.07

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Solution

The fourth proportional to 19,813.31, 29,731.41 and 7,342.07 is: 11,017.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,813.31 : 29,731.41 = 7,342.07 : x
  2. Step 2: Convert to fraction form
    19,813.31/29,731.41 = 7,342.07/x
  3. Step 3: Cross multiply
    19,813.31x = 29,731.41 × 7,342.07
  4. Step 4: Simplify right side
    19,813.31x = 218,290,093.42
  5. Step 5: Solve for x
    x = 218,290,093.42/19,813.31
  6. Step 6: Final answer
    x = 11,017.35

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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.