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Finding the Fourth Proportional to 5,379.40, 8,069.82 and 1,681.88

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Solution

The fourth proportional to 5,379.40, 8,069.82 and 1,681.88 is: 2,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,379.40 : 8,069.82 = 1,681.88 : x
  2. Step 2: Convert to fraction form
    5,379.40/8,069.82 = 1,681.88/x
  3. Step 3: Cross multiply
    5,379.40x = 8,069.82 × 1,681.88
  4. Step 4: Simplify right side
    5,379.40x = 13,572,468.86
  5. Step 5: Solve for x
    x = 13,572,468.86/5,379.40
  6. Step 6: Final answer
    x = 2,523.05

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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.