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Finding the Fourth Proportional to 4,652.70, 6,977.70 and 1,690.80

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Solution

The fourth proportional to 4,652.70, 6,977.70 and 1,690.80 is: 2,535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.70 : 6,977.70 = 1,690.80 : x
  2. Step 2: Convert to fraction form
    4,652.70/6,977.70 = 1,690.80/x
  3. Step 3: Cross multiply
    4,652.70x = 6,977.70 × 1,690.80
  4. Step 4: Simplify right side
    4,652.70x = 11,797,895.16
  5. Step 5: Solve for x
    x = 11,797,895.16/4,652.70
  6. Step 6: Final answer
    x = 2,535.71

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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.