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Finding the Fourth Proportional to 12,434.74, 17,163.56 and 9,934.26

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Solution

The fourth proportional to 12,434.74, 17,163.56 and 9,934.26 is: 13,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.74 : 17,163.56 = 9,934.26 : x
  2. Step 2: Convert to fraction form
    12,434.74/17,163.56 = 9,934.26/x
  3. Step 3: Cross multiply
    12,434.74x = 17,163.56 × 9,934.26
  4. Step 4: Simplify right side
    12,434.74x = 170,507,267.57
  5. Step 5: Solve for x
    x = 170,507,267.57/12,434.74
  6. Step 6: Final answer
    x = 13,712.17

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