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Finding the Fourth Proportional to 12,574, 17,349.22 and 7,537.28

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Solution

The fourth proportional to 12,574, 17,349.22 and 7,537.28 is: 10,399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574 : 17,349.22 = 7,537.28 : x
  2. Step 2: Convert to fraction form
    12,574/17,349.22 = 7,537.28/x
  3. Step 3: Cross multiply
    12,574x = 17,349.22 × 7,537.28
  4. Step 4: Simplify right side
    12,574x = 130,765,928.92
  5. Step 5: Solve for x
    x = 130,765,928.92/12,574
  6. Step 6: Final answer
    x = 10,399.71

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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.