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Finding the Fourth Proportional to 1,282.13, 1,919.11 and 890.12

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Solution

The fourth proportional to 1,282.13, 1,919.11 and 890.12 is: 1,332.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.13 : 1,919.11 = 890.12 : x
  2. Step 2: Convert to fraction form
    1,282.13/1,919.11 = 890.12/x
  3. Step 3: Cross multiply
    1,282.13x = 1,919.11 × 890.12
  4. Step 4: Simplify right side
    1,282.13x = 1,708,238.19
  5. Step 5: Solve for x
    x = 1,708,238.19/1,282.13
  6. Step 6: Final answer
    x = 1,332.34

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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.