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Finding the Fourth Proportional to 2,881, 4,324.38 and 2,103.40

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Solution

The fourth proportional to 2,881, 4,324.38 and 2,103.40 is: 3,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881 : 4,324.38 = 2,103.40 : x
  2. Step 2: Convert to fraction form
    2,881/4,324.38 = 2,103.40/x
  3. Step 3: Cross multiply
    2,881x = 4,324.38 × 2,103.40
  4. Step 4: Simplify right side
    2,881x = 9,095,900.89
  5. Step 5: Solve for x
    x = 9,095,900.89/2,881
  6. Step 6: Final answer
    x = 3,157.20

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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.