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Finding the Fourth Proportional to 4,977.92, 7,467.57 and 1,690.13

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Solution

The fourth proportional to 4,977.92, 7,467.57 and 1,690.13 is: 2,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.92 : 7,467.57 = 1,690.13 : x
  2. Step 2: Convert to fraction form
    4,977.92/7,467.57 = 1,690.13/x
  3. Step 3: Cross multiply
    4,977.92x = 7,467.57 × 1,690.13
  4. Step 4: Simplify right side
    4,977.92x = 12,621,182.75
  5. Step 5: Solve for x
    x = 12,621,182.75/4,977.92
  6. Step 6: Final answer
    x = 2,535.43

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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.