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Finding the Fourth Proportional to 2,133.81, 3,200.36 and 817.20

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Solution

The fourth proportional to 2,133.81, 3,200.36 and 817.20 is: 1,225.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.81 : 3,200.36 = 817.20 : x
  2. Step 2: Convert to fraction form
    2,133.81/3,200.36 = 817.20/x
  3. Step 3: Cross multiply
    2,133.81x = 3,200.36 × 817.20
  4. Step 4: Simplify right side
    2,133.81x = 2,615,330.11
  5. Step 5: Solve for x
    x = 2,615,330.11/2,133.81
  6. Step 6: Final answer
    x = 1,225.66

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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.