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Finding the Fourth Proportional to 4,578.87, 6,868.85 and 1,457.78

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Solution

The fourth proportional to 4,578.87, 6,868.85 and 1,457.78 is: 2,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.87 : 6,868.85 = 1,457.78 : x
  2. Step 2: Convert to fraction form
    4,578.87/6,868.85 = 1,457.78/x
  3. Step 3: Cross multiply
    4,578.87x = 6,868.85 × 1,457.78
  4. Step 4: Simplify right side
    4,578.87x = 10,013,272.15
  5. Step 5: Solve for x
    x = 10,013,272.15/4,578.87
  6. Step 6: Final answer
    x = 2,186.84

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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.