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Finding the Fourth Proportional to 17,762.20, 26,648.70 and 9,965.80

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Solution

The fourth proportional to 17,762.20, 26,648.70 and 9,965.80 is: 14,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.20 : 26,648.70 = 9,965.80 : x
  2. Step 2: Convert to fraction form
    17,762.20/26,648.70 = 9,965.80/x
  3. Step 3: Cross multiply
    17,762.20x = 26,648.70 × 9,965.80
  4. Step 4: Simplify right side
    17,762.20x = 265,575,614.46
  5. Step 5: Solve for x
    x = 265,575,614.46/17,762.20
  6. Step 6: Final answer
    x = 14,951.73

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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.