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Finding the Fourth Proportional to 2,656.79, 3,662.97 and 2,051.72

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Solution

The fourth proportional to 2,656.79, 3,662.97 and 2,051.72 is: 2,828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.79 : 3,662.97 = 2,051.72 : x
  2. Step 2: Convert to fraction form
    2,656.79/3,662.97 = 2,051.72/x
  3. Step 3: Cross multiply
    2,656.79x = 3,662.97 × 2,051.72
  4. Step 4: Simplify right side
    2,656.79x = 7,515,370.49
  5. Step 5: Solve for x
    x = 7,515,370.49/2,656.79
  6. Step 6: Final answer
    x = 2,828.75

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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.