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Finding the Fourth Proportional to 7,961, 10,986.18 and 4,819.64

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Solution

The fourth proportional to 7,961, 10,986.18 and 4,819.64 is: 6,651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961 : 10,986.18 = 4,819.64 : x
  2. Step 2: Convert to fraction form
    7,961/10,986.18 = 4,819.64/x
  3. Step 3: Cross multiply
    7,961x = 10,986.18 × 4,819.64
  4. Step 4: Simplify right side
    7,961x = 52,949,432.58
  5. Step 5: Solve for x
    x = 52,949,432.58/7,961
  6. Step 6: Final answer
    x = 6,651.10

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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.