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Finding the Fourth Proportional to 4,813, 6,641.94 and 2,605

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Solution

The fourth proportional to 4,813, 6,641.94 and 2,605 is: 3,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813 : 6,641.94 = 2,605 : x
  2. Step 2: Convert to fraction form
    4,813/6,641.94 = 2,605/x
  3. Step 3: Cross multiply
    4,813x = 6,641.94 × 2,605
  4. Step 4: Simplify right side
    4,813x = 17,302,253.70
  5. Step 5: Solve for x
    x = 17,302,253.70/4,813
  6. Step 6: Final answer
    x = 3,594.90

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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.