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Finding the Fourth Proportional to 31,998.56, 47,991.36 and 8,619.53

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Solution

The fourth proportional to 31,998.56, 47,991.36 and 8,619.53 is: 12,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,998.56 : 47,991.36 = 8,619.53 : x
  2. Step 2: Convert to fraction form
    31,998.56/47,991.36 = 8,619.53/x
  3. Step 3: Cross multiply
    31,998.56x = 47,991.36 × 8,619.53
  4. Step 4: Simplify right side
    31,998.56x = 413,662,967.26
  5. Step 5: Solve for x
    x = 413,662,967.26/31,998.56
  6. Step 6: Final answer
    x = 12,927.55

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1.5x scale

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.