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Finding the Fourth Proportional to 2,191.80, 3,288.16 and 631.80

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Solution

The fourth proportional to 2,191.80, 3,288.16 and 631.80 is: 947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.80 : 3,288.16 = 631.80 : x
  2. Step 2: Convert to fraction form
    2,191.80/3,288.16 = 631.80/x
  3. Step 3: Cross multiply
    2,191.80x = 3,288.16 × 631.80
  4. Step 4: Simplify right side
    2,191.80x = 2,077,459.49
  5. Step 5: Solve for x
    x = 2,077,459.49/2,191.80
  6. Step 6: Final answer
    x = 947.83

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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.