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Finding the Fourth Proportional to 21,358.72, 31,994.56 and 17,424

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Solution

The fourth proportional to 21,358.72, 31,994.56 and 17,424 is: 26,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,358.72 : 31,994.56 = 17,424 : x
  2. Step 2: Convert to fraction form
    21,358.72/31,994.56 = 17,424/x
  3. Step 3: Cross multiply
    21,358.72x = 31,994.56 × 17,424
  4. Step 4: Simplify right side
    21,358.72x = 557,473,213.44
  5. Step 5: Solve for x
    x = 557,473,213.44/21,358.72
  6. Step 6: Final answer
    x = 26,100.50

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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.