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Finding the Fourth Proportional to 31,189.89, 46,784.43 and 7,816.53

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Solution

The fourth proportional to 31,189.89, 46,784.43 and 7,816.53 is: 11,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,189.89 : 46,784.43 = 7,816.53 : x
  2. Step 2: Convert to fraction form
    31,189.89/46,784.43 = 7,816.53/x
  3. Step 3: Cross multiply
    31,189.89x = 46,784.43 × 7,816.53
  4. Step 4: Simplify right side
    31,189.89x = 365,691,900.63
  5. Step 5: Solve for x
    x = 365,691,900.63/31,189.89
  6. Step 6: Final answer
    x = 11,724.69

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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.