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Finding the Fourth Proportional to 2,161.72, 3,242.54 and 700.87

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Solution

The fourth proportional to 2,161.72, 3,242.54 and 700.87 is: 1,051.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.72 : 3,242.54 = 700.87 : x
  2. Step 2: Convert to fraction form
    2,161.72/3,242.54 = 700.87/x
  3. Step 3: Cross multiply
    2,161.72x = 3,242.54 × 700.87
  4. Step 4: Simplify right side
    2,161.72x = 2,272,595.51
  5. Step 5: Solve for x
    x = 2,272,595.51/2,161.72
  6. Step 6: Final answer
    x = 1,051.29

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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.