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Finding the Fourth Proportional to 2,161.34, 3,242.49 and 700.64

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Solution

The fourth proportional to 2,161.34, 3,242.49 and 700.64 is: 1,051.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.34 : 3,242.49 = 700.64 : x
  2. Step 2: Convert to fraction form
    2,161.34/3,242.49 = 700.64/x
  3. Step 3: Cross multiply
    2,161.34x = 3,242.49 × 700.64
  4. Step 4: Simplify right side
    2,161.34x = 2,271,824.55
  5. Step 5: Solve for x
    x = 2,271,824.55/2,161.34
  6. Step 6: Final answer
    x = 1,051.12

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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.