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Finding the Fourth Proportional to 17,502, 26,257.32 and 5,190

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Solution

The fourth proportional to 17,502, 26,257.32 and 5,190 is: 7,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,502 : 26,257.32 = 5,190 : x
  2. Step 2: Convert to fraction form
    17,502/26,257.32 = 5,190/x
  3. Step 3: Cross multiply
    17,502x = 26,257.32 × 5,190
  4. Step 4: Simplify right side
    17,502x = 136,275,490.80
  5. Step 5: Solve for x
    x = 136,275,490.80/17,502
  6. Step 6: Final answer
    x = 7,786.28

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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.