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Finding the Fourth Proportional to 3,569.41, 5,353.93 and 1,813.87

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Solution

The fourth proportional to 3,569.41, 5,353.93 and 1,813.87 is: 2,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.41 : 5,353.93 = 1,813.87 : x
  2. Step 2: Convert to fraction form
    3,569.41/5,353.93 = 1,813.87/x
  3. Step 3: Cross multiply
    3,569.41x = 5,353.93 × 1,813.87
  4. Step 4: Simplify right side
    3,569.41x = 9,711,333.01
  5. Step 5: Solve for x
    x = 9,711,333.01/3,569.41
  6. Step 6: Final answer
    x = 2,720.71

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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.