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Finding the Fourth Proportional to 6,434.58, 9,644.35 and 2,919.28

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Solution

The fourth proportional to 6,434.58, 9,644.35 and 2,919.28 is: 4,375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.58 : 9,644.35 = 2,919.28 : x
  2. Step 2: Convert to fraction form
    6,434.58/9,644.35 = 2,919.28/x
  3. Step 3: Cross multiply
    6,434.58x = 9,644.35 × 2,919.28
  4. Step 4: Simplify right side
    6,434.58x = 28,154,558.07
  5. Step 5: Solve for x
    x = 28,154,558.07/6,434.58
  6. Step 6: Final answer
    x = 4,375.51

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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.