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Finding the Fourth Proportional to 4,293, 6,439.50 and 1,697.76

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Solution

The fourth proportional to 4,293, 6,439.50 and 1,697.76 is: 2,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293 : 6,439.50 = 1,697.76 : x
  2. Step 2: Convert to fraction form
    4,293/6,439.50 = 1,697.76/x
  3. Step 3: Cross multiply
    4,293x = 6,439.50 × 1,697.76
  4. Step 4: Simplify right side
    4,293x = 10,932,725.52
  5. Step 5: Solve for x
    x = 10,932,725.52/4,293
  6. Step 6: Final answer
    x = 2,546.64

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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.