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Finding the Fourth Proportional to 3,569, 5,351.18 and 1,490.40

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Solution

The fourth proportional to 3,569, 5,351.18 and 1,490.40 is: 2,234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569 : 5,351.18 = 1,490.40 : x
  2. Step 2: Convert to fraction form
    3,569/5,351.18 = 1,490.40/x
  3. Step 3: Cross multiply
    3,569x = 5,351.18 × 1,490.40
  4. Step 4: Simplify right side
    3,569x = 7,975,398.67
  5. Step 5: Solve for x
    x = 7,975,398.67/3,569
  6. Step 6: Final answer
    x = 2,234.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.