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Finding the Fourth Proportional to 31,301.25, 46,951.83 and 7,929.51

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Solution

The fourth proportional to 31,301.25, 46,951.83 and 7,929.51 is: 11,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,301.25 : 46,951.83 = 7,929.51 : x
  2. Step 2: Convert to fraction form
    31,301.25/46,951.83 = 7,929.51/x
  3. Step 3: Cross multiply
    31,301.25x = 46,951.83 × 7,929.51
  4. Step 4: Simplify right side
    31,301.25x = 372,305,005.50
  5. Step 5: Solve for x
    x = 372,305,005.50/31,301.25
  6. Step 6: Final answer
    x = 11,894.25

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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.