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Finding the Fourth Proportional to 3,885.73, 5,823.40 and 1,418.23

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Solution

The fourth proportional to 3,885.73, 5,823.40 and 1,418.23 is: 2,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.73 : 5,823.40 = 1,418.23 : x
  2. Step 2: Convert to fraction form
    3,885.73/5,823.40 = 1,418.23/x
  3. Step 3: Cross multiply
    3,885.73x = 5,823.40 × 1,418.23
  4. Step 4: Simplify right side
    3,885.73x = 8,258,920.58
  5. Step 5: Solve for x
    x = 8,258,920.58/3,885.73
  6. Step 6: Final answer
    x = 2,125.45

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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.