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Finding the Fourth Proportional to 3,990.42, 5,987.68 and 1,770.78

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Solution

The fourth proportional to 3,990.42, 5,987.68 and 1,770.78 is: 2,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,990.42 : 5,987.68 = 1,770.78 : x
  2. Step 2: Convert to fraction form
    3,990.42/5,987.68 = 1,770.78/x
  3. Step 3: Cross multiply
    3,990.42x = 5,987.68 × 1,770.78
  4. Step 4: Simplify right side
    3,990.42x = 10,602,848.16
  5. Step 5: Solve for x
    x = 10,602,848.16/3,990.42
  6. Step 6: Final answer
    x = 2,657.07

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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.