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Finding the Fourth Proportional to 7,187.82, 10,780.11 and 1,994.10

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Solution

The fourth proportional to 7,187.82, 10,780.11 and 1,994.10 is: 2,990.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.82 : 10,780.11 = 1,994.10 : x
  2. Step 2: Convert to fraction form
    7,187.82/10,780.11 = 1,994.10/x
  3. Step 3: Cross multiply
    7,187.82x = 10,780.11 × 1,994.10
  4. Step 4: Simplify right side
    7,187.82x = 21,496,617.35
  5. Step 5: Solve for x
    x = 21,496,617.35/7,187.82
  6. Step 6: Final answer
    x = 2,990.70

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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.