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Finding the Fourth Proportional to 2,191.40, 3,285.84 and 891.36

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Solution

The fourth proportional to 2,191.40, 3,285.84 and 891.36 is: 1,336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.40 : 3,285.84 = 891.36 : x
  2. Step 2: Convert to fraction form
    2,191.40/3,285.84 = 891.36/x
  3. Step 3: Cross multiply
    2,191.40x = 3,285.84 × 891.36
  4. Step 4: Simplify right side
    2,191.40x = 2,928,866.34
  5. Step 5: Solve for x
    x = 2,928,866.34/2,191.40
  6. Step 6: Final answer
    x = 1,336.53

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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.