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Finding the Fourth Proportional to 1,909.31, 2,862.14 and 812.16

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Solution

The fourth proportional to 1,909.31, 2,862.14 and 812.16 is: 1,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.31 : 2,862.14 = 812.16 : x
  2. Step 2: Convert to fraction form
    1,909.31/2,862.14 = 812.16/x
  3. Step 3: Cross multiply
    1,909.31x = 2,862.14 × 812.16
  4. Step 4: Simplify right side
    1,909.31x = 2,324,511.56
  5. Step 5: Solve for x
    x = 2,324,511.56/1,909.31
  6. Step 6: Final answer
    x = 1,217.46

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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.