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Finding the Fourth Proportional to 3,605, 5,374.69 and 3,384.68

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Solution

The fourth proportional to 3,605, 5,374.69 and 3,384.68 is: 5,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605 : 5,374.69 = 3,384.68 : x
  2. Step 2: Convert to fraction form
    3,605/5,374.69 = 3,384.68/x
  3. Step 3: Cross multiply
    3,605x = 5,374.69 × 3,384.68
  4. Step 4: Simplify right side
    3,605x = 18,191,605.75
  5. Step 5: Solve for x
    x = 18,191,605.75/3,605
  6. Step 6: Final answer
    x = 5,046.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.