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Finding the Fourth Proportional to 2,128.02, 3,191.73 and 568.13

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Solution

The fourth proportional to 2,128.02, 3,191.73 and 568.13 is: 852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.02 : 3,191.73 = 568.13 : x
  2. Step 2: Convert to fraction form
    2,128.02/3,191.73 = 568.13/x
  3. Step 3: Cross multiply
    2,128.02x = 3,191.73 × 568.13
  4. Step 4: Simplify right side
    2,128.02x = 1,813,301.61
  5. Step 5: Solve for x
    x = 1,813,301.61/2,128.02
  6. Step 6: Final answer
    x = 852.11

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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.