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Finding the Fourth Proportional to 1,812.14, 2,717.34 and 886.61

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Solution

The fourth proportional to 1,812.14, 2,717.34 and 886.61 is: 1,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.14 : 2,717.34 = 886.61 : x
  2. Step 2: Convert to fraction form
    1,812.14/2,717.34 = 886.61/x
  3. Step 3: Cross multiply
    1,812.14x = 2,717.34 × 886.61
  4. Step 4: Simplify right side
    1,812.14x = 2,409,207.23
  5. Step 5: Solve for x
    x = 2,409,207.23/1,812.14
  6. Step 6: Final answer
    x = 1,329.49

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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.