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Finding the Fourth Proportional to 17,761.20, 26,647.20 and 9,964.80

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Solution

The fourth proportional to 17,761.20, 26,647.20 and 9,964.80 is: 14,950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.20 : 26,647.20 = 9,964.80 : x
  2. Step 2: Convert to fraction form
    17,761.20/26,647.20 = 9,964.80/x
  3. Step 3: Cross multiply
    17,761.20x = 26,647.20 × 9,964.80
  4. Step 4: Simplify right side
    17,761.20x = 265,534,018.56
  5. Step 5: Solve for x
    x = 265,534,018.56/17,761.20
  6. Step 6: Final answer
    x = 14,950.23

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1.5x scale

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.