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Finding the Fourth Proportional to 7,249, 10,003.80 and 3,937

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Solution

The fourth proportional to 7,249, 10,003.80 and 3,937 is: 5,433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249 : 10,003.80 = 3,937 : x
  2. Step 2: Convert to fraction form
    7,249/10,003.80 = 3,937/x
  3. Step 3: Cross multiply
    7,249x = 10,003.80 × 3,937
  4. Step 4: Simplify right side
    7,249x = 39,384,960.60
  5. Step 5: Solve for x
    x = 39,384,960.60/7,249
  6. Step 6: Final answer
    x = 5,433.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.