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Finding the Fourth Proportional to 3,107.46, 4,661.10 and 1,720.08

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Solution

The fourth proportional to 3,107.46, 4,661.10 and 1,720.08 is: 2,580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.46 : 4,661.10 = 1,720.08 : x
  2. Step 2: Convert to fraction form
    3,107.46/4,661.10 = 1,720.08/x
  3. Step 3: Cross multiply
    3,107.46x = 4,661.10 × 1,720.08
  4. Step 4: Simplify right side
    3,107.46x = 8,017,464.89
  5. Step 5: Solve for x
    x = 8,017,464.89/3,107.46
  6. Step 6: Final answer
    x = 2,580.07

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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.