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Finding the Fourth Proportional to 10,171.36, 14,036 and 5,695.68

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Solution

The fourth proportional to 10,171.36, 14,036 and 5,695.68 is: 7,859.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.36 : 14,036 = 5,695.68 : x
  2. Step 2: Convert to fraction form
    10,171.36/14,036 = 5,695.68/x
  3. Step 3: Cross multiply
    10,171.36x = 14,036 × 5,695.68
  4. Step 4: Simplify right side
    10,171.36x = 79,944,564.48
  5. Step 5: Solve for x
    x = 79,944,564.48/10,171.36
  6. Step 6: Final answer
    x = 7,859.77

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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.