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Finding the Fourth Proportional to 31,165.75, 46,751.06 and 10,389.25

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Solution

The fourth proportional to 31,165.75, 46,751.06 and 10,389.25 is: 15,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,165.75 : 46,751.06 = 10,389.25 : x
  2. Step 2: Convert to fraction form
    31,165.75/46,751.06 = 10,389.25/x
  3. Step 3: Cross multiply
    31,165.75x = 46,751.06 × 10,389.25
  4. Step 4: Simplify right side
    31,165.75x = 485,708,450.11
  5. Step 5: Solve for x
    x = 485,708,450.11/31,165.75
  6. Step 6: Final answer
    x = 15,584.69

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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.