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Finding the Fourth Proportional to 5,685.39, 8,529.76 and 2,914

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Solution

The fourth proportional to 5,685.39, 8,529.76 and 2,914 is: 4,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.39 : 8,529.76 = 2,914 : x
  2. Step 2: Convert to fraction form
    5,685.39/8,529.76 = 2,914/x
  3. Step 3: Cross multiply
    5,685.39x = 8,529.76 × 2,914
  4. Step 4: Simplify right side
    5,685.39x = 24,855,720.64
  5. Step 5: Solve for x
    x = 24,855,720.64/5,685.39
  6. Step 6: Final answer
    x = 4,371.86

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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.