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Finding the Fourth Proportional to 31,638, 43,661.36 and 17,491.76

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Solution

The fourth proportional to 31,638, 43,661.36 and 17,491.76 is: 24,139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,638 : 43,661.36 = 17,491.76 : x
  2. Step 2: Convert to fraction form
    31,638/43,661.36 = 17,491.76/x
  3. Step 3: Cross multiply
    31,638x = 43,661.36 × 17,491.76
  4. Step 4: Simplify right side
    31,638x = 763,713,724.63
  5. Step 5: Solve for x
    x = 763,713,724.63/31,638
  6. Step 6: Final answer
    x = 24,139.13

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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.