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Finding the Fourth Proportional to 3,914, 5,401.80 and 2,258

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Solution

The fourth proportional to 3,914, 5,401.80 and 2,258 is: 3,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914 : 5,401.80 = 2,258 : x
  2. Step 2: Convert to fraction form
    3,914/5,401.80 = 2,258/x
  3. Step 3: Cross multiply
    3,914x = 5,401.80 × 2,258
  4. Step 4: Simplify right side
    3,914x = 12,197,264.40
  5. Step 5: Solve for x
    x = 12,197,264.40/3,914
  6. Step 6: Final answer
    x = 3,116.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.