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Finding the Fourth Proportional to 7,181.42, 10,770.90 and 1,987.31

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Solution

The fourth proportional to 7,181.42, 10,770.90 and 1,987.31 is: 2,980.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.42 : 10,770.90 = 1,987.31 : x
  2. Step 2: Convert to fraction form
    7,181.42/10,770.90 = 1,987.31/x
  3. Step 3: Cross multiply
    7,181.42x = 10,770.90 × 1,987.31
  4. Step 4: Simplify right side
    7,181.42x = 21,405,117.28
  5. Step 5: Solve for x
    x = 21,405,117.28/7,181.42
  6. Step 6: Final answer
    x = 2,980.62

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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.