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Finding the Fourth Proportional to 4,768, 6,580.11 and 2,672.80

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Solution

The fourth proportional to 4,768, 6,580.11 and 2,672.80 is: 3,688.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768 : 6,580.11 = 2,672.80 : x
  2. Step 2: Convert to fraction form
    4,768/6,580.11 = 2,672.80/x
  3. Step 3: Cross multiply
    4,768x = 6,580.11 × 2,672.80
  4. Step 4: Simplify right side
    4,768x = 17,587,318.01
  5. Step 5: Solve for x
    x = 17,587,318.01/4,768
  6. Step 6: Final answer
    x = 3,688.62

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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.