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Finding the Fourth Proportional to 12,434.45, 17,153.73 and 7,395.84

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Solution

The fourth proportional to 12,434.45, 17,153.73 and 7,395.84 is: 10,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.45 : 17,153.73 = 7,395.84 : x
  2. Step 2: Convert to fraction form
    12,434.45/17,153.73 = 7,395.84/x
  3. Step 3: Cross multiply
    12,434.45x = 17,153.73 × 7,395.84
  4. Step 4: Simplify right side
    12,434.45x = 126,866,242.48
  5. Step 5: Solve for x
    x = 126,866,242.48/12,434.45
  6. Step 6: Final answer
    x = 10,202.81

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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.