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Finding the Fourth Proportional to 31,176, 43,022.40 and 17,028.48

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Solution

The fourth proportional to 31,176, 43,022.40 and 17,028.48 is: 23,499.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,176 : 43,022.40 = 17,028.48 : x
  2. Step 2: Convert to fraction form
    31,176/43,022.40 = 17,028.48/x
  3. Step 3: Cross multiply
    31,176x = 43,022.40 × 17,028.48
  4. Step 4: Simplify right side
    31,176x = 732,606,077.95
  5. Step 5: Solve for x
    x = 732,606,077.95/31,176
  6. Step 6: Final answer
    x = 23,499.04

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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.