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Finding the Fourth Proportional to 3,855.53, 5,783.16 and 1,258.46

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Solution

The fourth proportional to 3,855.53, 5,783.16 and 1,258.46 is: 1,887.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.53 : 5,783.16 = 1,258.46 : x
  2. Step 2: Convert to fraction form
    3,855.53/5,783.16 = 1,258.46/x
  3. Step 3: Cross multiply
    3,855.53x = 5,783.16 × 1,258.46
  4. Step 4: Simplify right side
    3,855.53x = 7,277,875.53
  5. Step 5: Solve for x
    x = 7,277,875.53/3,855.53
  6. Step 6: Final answer
    x = 1,887.65

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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.