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Finding the Fourth Proportional to 3,578, 5,369.16 and 1,526

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Solution

The fourth proportional to 3,578, 5,369.16 and 1,526 is: 2,289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578 : 5,369.16 = 1,526 : x
  2. Step 2: Convert to fraction form
    3,578/5,369.16 = 1,526/x
  3. Step 3: Cross multiply
    3,578x = 5,369.16 × 1,526
  4. Step 4: Simplify right side
    3,578x = 8,193,338.16
  5. Step 5: Solve for x
    x = 8,193,338.16/3,578
  6. Step 6: Final answer
    x = 2,289.92

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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.