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Finding the Fourth Proportional to 31,188.75, 46,783.13 and 7,815.21

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Solution

The fourth proportional to 31,188.75, 46,783.13 and 7,815.21 is: 11,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,188.75 : 46,783.13 = 7,815.21 : x
  2. Step 2: Convert to fraction form
    31,188.75/46,783.13 = 7,815.21/x
  3. Step 3: Cross multiply
    31,188.75x = 46,783.13 × 7,815.21
  4. Step 4: Simplify right side
    31,188.75x = 365,619,946.33
  5. Step 5: Solve for x
    x = 365,619,946.33/31,188.75
  6. Step 6: Final answer
    x = 11,722.82

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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.