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Finding the Fourth Proportional to 17,696, 26,548.80 and 5,384

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Solution

The fourth proportional to 17,696, 26,548.80 and 5,384 is: 8,077.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696 : 26,548.80 = 5,384 : x
  2. Step 2: Convert to fraction form
    17,696/26,548.80 = 5,384/x
  3. Step 3: Cross multiply
    17,696x = 26,548.80 × 5,384
  4. Step 4: Simplify right side
    17,696x = 142,938,739.20
  5. Step 5: Solve for x
    x = 142,938,739.20/17,696
  6. Step 6: Final answer
    x = 8,077.46

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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.