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Finding the Fourth Proportional to 2,017.62, 3,025.08 and 784.26

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Solution

The fourth proportional to 2,017.62, 3,025.08 and 784.26 is: 1,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.62 : 3,025.08 = 784.26 : x
  2. Step 2: Convert to fraction form
    2,017.62/3,025.08 = 784.26/x
  3. Step 3: Cross multiply
    2,017.62x = 3,025.08 × 784.26
  4. Step 4: Simplify right side
    2,017.62x = 2,372,449.24
  5. Step 5: Solve for x
    x = 2,372,449.24/2,017.62
  6. Step 6: Final answer
    x = 1,175.87

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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.