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Finding the Fourth Proportional to 31,454, 43,406 and 17,306.56

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Solution

The fourth proportional to 31,454, 43,406 and 17,306.56 is: 23,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,454 : 43,406 = 17,306.56 : x
  2. Step 2: Convert to fraction form
    31,454/43,406 = 17,306.56/x
  3. Step 3: Cross multiply
    31,454x = 43,406 × 17,306.56
  4. Step 4: Simplify right side
    31,454x = 751,208,543.36
  5. Step 5: Solve for x
    x = 751,208,543.36/31,454
  6. Step 6: Final answer
    x = 23,882.77

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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.