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Finding the Fourth Proportional to 9,781.75, 13,498.75 and 5,305.62

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Solution

The fourth proportional to 9,781.75, 13,498.75 and 5,305.62 is: 7,321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.75 : 13,498.75 = 5,305.62 : x
  2. Step 2: Convert to fraction form
    9,781.75/13,498.75 = 5,305.62/x
  3. Step 3: Cross multiply
    9,781.75x = 13,498.75 × 5,305.62
  4. Step 4: Simplify right side
    9,781.75x = 71,619,237.98
  5. Step 5: Solve for x
    x = 71,619,237.98/9,781.75
  6. Step 6: Final answer
    x = 7,321.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.