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Finding the Fourth Proportional to 4,600.60, 6,900.90 and 1,678.52

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Solution

The fourth proportional to 4,600.60, 6,900.90 and 1,678.52 is: 2,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.60 : 6,900.90 = 1,678.52 : x
  2. Step 2: Convert to fraction form
    4,600.60/6,900.90 = 1,678.52/x
  3. Step 3: Cross multiply
    4,600.60x = 6,900.90 × 1,678.52
  4. Step 4: Simplify right side
    4,600.60x = 11,583,309.63
  5. Step 5: Solve for x
    x = 11,583,309.63/4,600.60
  6. Step 6: Final answer
    x = 2,517.78

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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.