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Finding the Fourth Proportional to 4,641, 6,404.60 and 2,516.57

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Solution

The fourth proportional to 4,641, 6,404.60 and 2,516.57 is: 3,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641 : 6,404.60 = 2,516.57 : x
  2. Step 2: Convert to fraction form
    4,641/6,404.60 = 2,516.57/x
  3. Step 3: Cross multiply
    4,641x = 6,404.60 × 2,516.57
  4. Step 4: Simplify right side
    4,641x = 16,117,579.62
  5. Step 5: Solve for x
    x = 16,117,579.62/4,641
  6. Step 6: Final answer
    x = 3,472.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.