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Finding the Fourth Proportional to 31,315.92, 46,874.04 and 17,422.80

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Solution

The fourth proportional to 31,315.92, 46,874.04 and 17,422.80 is: 26,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,315.92 : 46,874.04 = 17,422.80 : x
  2. Step 2: Convert to fraction form
    31,315.92/46,874.04 = 17,422.80/x
  3. Step 3: Cross multiply
    31,315.92x = 46,874.04 × 17,422.80
  4. Step 4: Simplify right side
    31,315.92x = 816,677,024.11
  5. Step 5: Solve for x
    x = 816,677,024.11/31,315.92
  6. Step 6: Final answer
    x = 26,078.65

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