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Finding the Fourth Proportional to 2,128.25, 3,192.28 and 568.26

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Solution

The fourth proportional to 2,128.25, 3,192.28 and 568.26 is: 852.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.25 : 3,192.28 = 568.26 : x
  2. Step 2: Convert to fraction form
    2,128.25/3,192.28 = 568.26/x
  3. Step 3: Cross multiply
    2,128.25x = 3,192.28 × 568.26
  4. Step 4: Simplify right side
    2,128.25x = 1,814,045.03
  5. Step 5: Solve for x
    x = 1,814,045.03/2,128.25
  6. Step 6: Final answer
    x = 852.36

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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.