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Finding the Fourth Proportional to 2,128.79, 3,193.05 and 896.33

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Solution

The fourth proportional to 2,128.79, 3,193.05 and 896.33 is: 1,344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.79 : 3,193.05 = 896.33 : x
  2. Step 2: Convert to fraction form
    2,128.79/3,193.05 = 896.33/x
  3. Step 3: Cross multiply
    2,128.79x = 3,193.05 × 896.33
  4. Step 4: Simplify right side
    2,128.79x = 2,862,026.51
  5. Step 5: Solve for x
    x = 2,862,026.51/2,128.79
  6. Step 6: Final answer
    x = 1,344.44

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Half scale
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Double scale
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Similar ratio
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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.