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Finding the Fourth Proportional to 31,123, 46,684.54 and 9,235

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Solution

The fourth proportional to 31,123, 46,684.54 and 9,235 is: 13,852.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,123 : 46,684.54 = 9,235 : x
  2. Step 2: Convert to fraction form
    31,123/46,684.54 = 9,235/x
  3. Step 3: Cross multiply
    31,123x = 46,684.54 × 9,235
  4. Step 4: Simplify right side
    31,123x = 431,131,726.90
  5. Step 5: Solve for x
    x = 431,131,726.90/31,123
  6. Step 6: Final answer
    x = 13,852.51

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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.