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Finding the Fourth Proportional to 31,129.47, 46,694.16 and 11,409.54

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Solution

The fourth proportional to 31,129.47, 46,694.16 and 11,409.54 is: 17,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.47 : 46,694.16 = 11,409.54 : x
  2. Step 2: Convert to fraction form
    31,129.47/46,694.16 = 11,409.54/x
  3. Step 3: Cross multiply
    31,129.47x = 46,694.16 × 11,409.54
  4. Step 4: Simplify right side
    31,129.47x = 532,758,886.29
  5. Step 5: Solve for x
    x = 532,758,886.29/31,129.47
  6. Step 6: Final answer
    x = 17,114.29

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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.