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Finding the Fourth Proportional to 4,578.68, 6,868.62 and 2,114.05

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Solution

The fourth proportional to 4,578.68, 6,868.62 and 2,114.05 is: 3,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.68 : 6,868.62 = 2,114.05 : x
  2. Step 2: Convert to fraction form
    4,578.68/6,868.62 = 2,114.05/x
  3. Step 3: Cross multiply
    4,578.68x = 6,868.62 × 2,114.05
  4. Step 4: Simplify right side
    4,578.68x = 14,520,588.94
  5. Step 5: Solve for x
    x = 14,520,588.94/4,578.68
  6. Step 6: Final answer
    x = 3,171.35

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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.