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Finding the Fourth Proportional to 30,872.58, 46,315.31 and 17,551.71

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Solution

The fourth proportional to 30,872.58, 46,315.31 and 17,551.71 is: 26,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872.58 : 46,315.31 = 17,551.71 : x
  2. Step 2: Convert to fraction form
    30,872.58/46,315.31 = 17,551.71/x
  3. Step 3: Cross multiply
    30,872.58x = 46,315.31 × 17,551.71
  4. Step 4: Simplify right side
    30,872.58x = 812,912,801.92
  5. Step 5: Solve for x
    x = 812,912,801.92/30,872.58
  6. Step 6: Final answer
    x = 26,331.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.