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Finding the Fourth Proportional to 6,812, 9,394.32 and 4,419.48

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Solution

The fourth proportional to 6,812, 9,394.32 and 4,419.48 is: 6,094.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812 : 9,394.32 = 4,419.48 : x
  2. Step 2: Convert to fraction form
    6,812/9,394.32 = 4,419.48/x
  3. Step 3: Cross multiply
    6,812x = 9,394.32 × 4,419.48
  4. Step 4: Simplify right side
    6,812x = 41,518,009.35
  5. Step 5: Solve for x
    x = 41,518,009.35/6,812
  6. Step 6: Final answer
    x = 6,094.83

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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.