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Finding the Fourth Proportional to 8,193.75, 12,346.44 and 7,298.64

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Solution

The fourth proportional to 8,193.75, 12,346.44 and 7,298.64 is: 10,997.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.75 : 12,346.44 = 7,298.64 : x
  2. Step 2: Convert to fraction form
    8,193.75/12,346.44 = 7,298.64/x
  3. Step 3: Cross multiply
    8,193.75x = 12,346.44 × 7,298.64
  4. Step 4: Simplify right side
    8,193.75x = 90,112,220.84
  5. Step 5: Solve for x
    x = 90,112,220.84/8,193.75
  6. Step 6: Final answer
    x = 10,997.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.