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Finding the Fourth Proportional to 31,447, 43,395.99 and 17,299.84

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Solution

The fourth proportional to 31,447, 43,395.99 and 17,299.84 is: 23,873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,447 : 43,395.99 = 17,299.84 : x
  2. Step 2: Convert to fraction form
    31,447/43,395.99 = 17,299.84/x
  3. Step 3: Cross multiply
    31,447x = 43,395.99 × 17,299.84
  4. Step 4: Simplify right side
    31,447x = 750,743,683.64
  5. Step 5: Solve for x
    x = 750,743,683.64/31,447
  6. Step 6: Final answer
    x = 23,873.30

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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.