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Finding the Fourth Proportional to 4,823, 6,655.78 and 2,615

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Solution

The fourth proportional to 4,823, 6,655.78 and 2,615 is: 3,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823 : 6,655.78 = 2,615 : x
  2. Step 2: Convert to fraction form
    4,823/6,655.78 = 2,615/x
  3. Step 3: Cross multiply
    4,823x = 6,655.78 × 2,615
  4. Step 4: Simplify right side
    4,823x = 17,404,864.70
  5. Step 5: Solve for x
    x = 17,404,864.70/4,823
  6. Step 6: Final answer
    x = 3,608.72

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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.