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Finding the Fourth Proportional to 6,764.60, 10,142.10 and 3,068.60

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Solution

The fourth proportional to 6,764.60, 10,142.10 and 3,068.60 is: 4,600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.60 : 10,142.10 = 3,068.60 : x
  2. Step 2: Convert to fraction form
    6,764.60/10,142.10 = 3,068.60/x
  3. Step 3: Cross multiply
    6,764.60x = 10,142.10 × 3,068.60
  4. Step 4: Simplify right side
    6,764.60x = 31,122,048.06
  5. Step 5: Solve for x
    x = 31,122,048.06/6,764.60
  6. Step 6: Final answer
    x = 4,600.72

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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.