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Finding the Fourth Proportional to 2,035, 2,808.34 and 1,195.72

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Solution

The fourth proportional to 2,035, 2,808.34 and 1,195.72 is: 1,650.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035 : 2,808.34 = 1,195.72 : x
  2. Step 2: Convert to fraction form
    2,035/2,808.34 = 1,195.72/x
  3. Step 3: Cross multiply
    2,035x = 2,808.34 × 1,195.72
  4. Step 4: Simplify right side
    2,035x = 3,357,988.30
  5. Step 5: Solve for x
    x = 3,357,988.30/2,035
  6. Step 6: Final answer
    x = 1,650.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.