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Finding the Fourth Proportional to 4,310.46, 6,465.03 and 1,388.46

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Solution

The fourth proportional to 4,310.46, 6,465.03 and 1,388.46 is: 2,082.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.46 : 6,465.03 = 1,388.46 : x
  2. Step 2: Convert to fraction form
    4,310.46/6,465.03 = 1,388.46/x
  3. Step 3: Cross multiply
    4,310.46x = 6,465.03 × 1,388.46
  4. Step 4: Simplify right side
    4,310.46x = 8,976,435.55
  5. Step 5: Solve for x
    x = 8,976,435.55/4,310.46
  6. Step 6: Final answer
    x = 2,082.48

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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.