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Finding the Fourth Proportional to 7,162.84, 9,883.86 and 4,178.32

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Solution

The fourth proportional to 7,162.84, 9,883.86 and 4,178.32 is: 5,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.84 : 9,883.86 = 4,178.32 : x
  2. Step 2: Convert to fraction form
    7,162.84/9,883.86 = 4,178.32/x
  3. Step 3: Cross multiply
    7,162.84x = 9,883.86 × 4,178.32
  4. Step 4: Simplify right side
    7,162.84x = 41,297,929.92
  5. Step 5: Solve for x
    x = 41,297,929.92/7,162.84
  6. Step 6: Final answer
    x = 5,765.58

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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.