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Finding the Fourth Proportional to 2,057.28, 3,085.92 and 841.28

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Solution

The fourth proportional to 2,057.28, 3,085.92 and 841.28 is: 1,261.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.28 : 3,085.92 = 841.28 : x
  2. Step 2: Convert to fraction form
    2,057.28/3,085.92 = 841.28/x
  3. Step 3: Cross multiply
    2,057.28x = 3,085.92 × 841.28
  4. Step 4: Simplify right side
    2,057.28x = 2,596,122.78
  5. Step 5: Solve for x
    x = 2,596,122.78/2,057.28
  6. Step 6: Final answer
    x = 1,261.92

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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.