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Finding the Fourth Proportional to 3,523.86, 5,290.97 and 1,966.90

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Solution

The fourth proportional to 3,523.86, 5,290.97 and 1,966.90 is: 2,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.86 : 5,290.97 = 1,966.90 : x
  2. Step 2: Convert to fraction form
    3,523.86/5,290.97 = 1,966.90/x
  3. Step 3: Cross multiply
    3,523.86x = 5,290.97 × 1,966.90
  4. Step 4: Simplify right side
    3,523.86x = 10,406,808.89
  5. Step 5: Solve for x
    x = 10,406,808.89/3,523.86
  6. Step 6: Final answer
    x = 2,953.24

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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.