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Finding the Fourth Proportional to 1,882.96, 2,820.66 and 906.16

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Solution

The fourth proportional to 1,882.96, 2,820.66 and 906.16 is: 1,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.96 : 2,820.66 = 906.16 : x
  2. Step 2: Convert to fraction form
    1,882.96/2,820.66 = 906.16/x
  3. Step 3: Cross multiply
    1,882.96x = 2,820.66 × 906.16
  4. Step 4: Simplify right side
    1,882.96x = 2,555,969.27
  5. Step 5: Solve for x
    x = 2,555,969.27/1,882.96
  6. Step 6: Final answer
    x = 1,357.42

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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.