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Finding the Fourth Proportional to 13,153.22, 18,148.46 and 7,847

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Solution

The fourth proportional to 13,153.22, 18,148.46 and 7,847 is: 10,827.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.22 : 18,148.46 = 7,847 : x
  2. Step 2: Convert to fraction form
    13,153.22/18,148.46 = 7,847/x
  3. Step 3: Cross multiply
    13,153.22x = 18,148.46 × 7,847
  4. Step 4: Simplify right side
    13,153.22x = 142,410,965.62
  5. Step 5: Solve for x
    x = 142,410,965.62/13,153.22
  6. Step 6: Final answer
    x = 10,827.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.