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Finding the Fourth Proportional to 5,681, 8,519.86 and 2,394.84

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Solution

The fourth proportional to 5,681, 8,519.86 and 2,394.84 is: 3,591.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681 : 8,519.86 = 2,394.84 : x
  2. Step 2: Convert to fraction form
    5,681/8,519.86 = 2,394.84/x
  3. Step 3: Cross multiply
    5,681x = 8,519.86 × 2,394.84
  4. Step 4: Simplify right side
    5,681x = 20,403,701.52
  5. Step 5: Solve for x
    x = 20,403,701.52/5,681
  6. Step 6: Final answer
    x = 3,591.57

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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.