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Finding the Fourth Proportional to 6,874.64, 10,312.32 and 3,180.32

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Solution

The fourth proportional to 6,874.64, 10,312.32 and 3,180.32 is: 4,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.64 : 10,312.32 = 3,180.32 : x
  2. Step 2: Convert to fraction form
    6,874.64/10,312.32 = 3,180.32/x
  3. Step 3: Cross multiply
    6,874.64x = 10,312.32 × 3,180.32
  4. Step 4: Simplify right side
    6,874.64x = 32,796,477.54
  5. Step 5: Solve for x
    x = 32,796,477.54/6,874.64
  6. Step 6: Final answer
    x = 4,770.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.