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Finding the Fourth Proportional to 31,308.75, 46,965.86 and 7,935.19

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Solution

The fourth proportional to 31,308.75, 46,965.86 and 7,935.19 is: 11,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,308.75 : 46,965.86 = 7,935.19 : x
  2. Step 2: Convert to fraction form
    31,308.75/46,965.86 = 7,935.19/x
  3. Step 3: Cross multiply
    31,308.75x = 46,965.86 × 7,935.19
  4. Step 4: Simplify right side
    31,308.75x = 372,683,022.61
  5. Step 5: Solve for x
    x = 372,683,022.61/31,308.75
  6. Step 6: Final answer
    x = 11,903.48

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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.