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Finding the Fourth Proportional to 6,137.10, 9,205.64 and 1,520.10

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Solution

The fourth proportional to 6,137.10, 9,205.64 and 1,520.10 is: 2,280.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.10 : 9,205.64 = 1,520.10 : x
  2. Step 2: Convert to fraction form
    6,137.10/9,205.64 = 1,520.10/x
  3. Step 3: Cross multiply
    6,137.10x = 9,205.64 × 1,520.10
  4. Step 4: Simplify right side
    6,137.10x = 13,993,493.36
  5. Step 5: Solve for x
    x = 13,993,493.36/6,137.10
  6. Step 6: Final answer
    x = 2,280.15

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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.