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Finding the Fourth Proportional to 31,579.04, 43,576 and 17,431

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Solution

The fourth proportional to 31,579.04, 43,576 and 17,431 is: 24,053.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,579.04 : 43,576 = 17,431 : x
  2. Step 2: Convert to fraction form
    31,579.04/43,576 = 17,431/x
  3. Step 3: Cross multiply
    31,579.04x = 43,576 × 17,431
  4. Step 4: Simplify right side
    31,579.04x = 759,573,256
  5. Step 5: Solve for x
    x = 759,573,256/31,579.04
  6. Step 6: Final answer
    x = 24,053.08

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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.