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Finding the Fourth Proportional to 3,855.28, 5,784.28 and 1,258.20

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Solution

The fourth proportional to 3,855.28, 5,784.28 and 1,258.20 is: 1,887.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.28 : 5,784.28 = 1,258.20 : x
  2. Step 2: Convert to fraction form
    3,855.28/5,784.28 = 1,258.20/x
  3. Step 3: Cross multiply
    3,855.28x = 5,784.28 × 1,258.20
  4. Step 4: Simplify right side
    3,855.28x = 7,277,781.10
  5. Step 5: Solve for x
    x = 7,277,781.10/3,855.28
  6. Step 6: Final answer
    x = 1,887.74

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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.