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Finding the Fourth Proportional to 10,369.37, 15,560 and 3,794.69

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Solution

The fourth proportional to 10,369.37, 15,560 and 3,794.69 is: 5,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.37 : 15,560 = 3,794.69 : x
  2. Step 2: Convert to fraction form
    10,369.37/15,560 = 3,794.69/x
  3. Step 3: Cross multiply
    10,369.37x = 15,560 × 3,794.69
  4. Step 4: Simplify right side
    10,369.37x = 59,045,376.40
  5. Step 5: Solve for x
    x = 59,045,376.40/10,369.37
  6. Step 6: Final answer
    x = 5,694.21

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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.