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Finding the Fourth Proportional to 17,892, 26,838.36 and 5,580

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Solution

The fourth proportional to 17,892, 26,838.36 and 5,580 is: 8,370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,892 : 26,838.36 = 5,580 : x
  2. Step 2: Convert to fraction form
    17,892/26,838.36 = 5,580/x
  3. Step 3: Cross multiply
    17,892x = 26,838.36 × 5,580
  4. Step 4: Simplify right side
    17,892x = 149,758,048.80
  5. Step 5: Solve for x
    x = 149,758,048.80/17,892
  6. Step 6: Final answer
    x = 8,370.11

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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.