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Finding the Fourth Proportional to 8,914.50, 12,305.25 and 5,188.50

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Solution

The fourth proportional to 8,914.50, 12,305.25 and 5,188.50 is: 7,162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,914.50 : 12,305.25 = 5,188.50 : x
  2. Step 2: Convert to fraction form
    8,914.50/12,305.25 = 5,188.50/x
  3. Step 3: Cross multiply
    8,914.50x = 12,305.25 × 5,188.50
  4. Step 4: Simplify right side
    8,914.50x = 63,845,789.63
  5. Step 5: Solve for x
    x = 63,845,789.63/8,914.50
  6. Step 6: Final answer
    x = 7,162.02

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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.