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Finding the Fourth Proportional to 2,133.55, 3,200.53 and 901.07

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Solution

The fourth proportional to 2,133.55, 3,200.53 and 901.07 is: 1,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.55 : 3,200.53 = 901.07 : x
  2. Step 2: Convert to fraction form
    2,133.55/3,200.53 = 901.07/x
  3. Step 3: Cross multiply
    2,133.55x = 3,200.53 × 901.07
  4. Step 4: Simplify right side
    2,133.55x = 2,883,901.57
  5. Step 5: Solve for x
    x = 2,883,901.57/2,133.55
  6. Step 6: Final answer
    x = 1,351.69

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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.