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Finding the Fourth Proportional to 17,647.60, 26,463.30 and 7,781.80

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Solution

The fourth proportional to 17,647.60, 26,463.30 and 7,781.80 is: 11,669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.60 : 26,463.30 = 7,781.80 : x
  2. Step 2: Convert to fraction form
    17,647.60/26,463.30 = 7,781.80/x
  3. Step 3: Cross multiply
    17,647.60x = 26,463.30 × 7,781.80
  4. Step 4: Simplify right side
    17,647.60x = 205,932,107.94
  5. Step 5: Solve for x
    x = 205,932,107.94/17,647.60
  6. Step 6: Final answer
    x = 11,669.13

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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.