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Finding the Fourth Proportional to 4,121, 5,687 and 2,258

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Solution

The fourth proportional to 4,121, 5,687 and 2,258 is: 3,116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121 : 5,687 = 2,258 : x
  2. Step 2: Convert to fraction form
    4,121/5,687 = 2,258/x
  3. Step 3: Cross multiply
    4,121x = 5,687 × 2,258
  4. Step 4: Simplify right side
    4,121x = 12,841,246
  5. Step 5: Solve for x
    x = 12,841,246/4,121
  6. Step 6: Final answer
    x = 3,116.05

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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.