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Finding the Fourth Proportional to 3,383.72, 5,051.20 and 2,888

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Solution

The fourth proportional to 3,383.72, 5,051.20 and 2,888 is: 4,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.72 : 5,051.20 = 2,888 : x
  2. Step 2: Convert to fraction form
    3,383.72/5,051.20 = 2,888/x
  3. Step 3: Cross multiply
    3,383.72x = 5,051.20 × 2,888
  4. Step 4: Simplify right side
    3,383.72x = 14,587,865.60
  5. Step 5: Solve for x
    x = 14,587,865.60/3,383.72
  6. Step 6: Final answer
    x = 4,311.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.