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Finding the Fourth Proportional to 30,980.81, 46,472.97 and 8,792.43

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Solution

The fourth proportional to 30,980.81, 46,472.97 and 8,792.43 is: 13,189.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.81 : 46,472.97 = 8,792.43 : x
  2. Step 2: Convert to fraction form
    30,980.81/46,472.97 = 8,792.43/x
  3. Step 3: Cross multiply
    30,980.81x = 46,472.97 × 8,792.43
  4. Step 4: Simplify right side
    30,980.81x = 408,610,335.62
  5. Step 5: Solve for x
    x = 408,610,335.62/30,980.81
  6. Step 6: Final answer
    x = 13,189.15

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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.