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Finding the Fourth Proportional to 4,584, 6,325.92 and 2,815.56

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Solution

The fourth proportional to 4,584, 6,325.92 and 2,815.56 is: 3,885.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584 : 6,325.92 = 2,815.56 : x
  2. Step 2: Convert to fraction form
    4,584/6,325.92 = 2,815.56/x
  3. Step 3: Cross multiply
    4,584x = 6,325.92 × 2,815.56
  4. Step 4: Simplify right side
    4,584x = 17,811,007.32
  5. Step 5: Solve for x
    x = 17,811,007.32/4,584
  6. Step 6: Final answer
    x = 3,885.47

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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.