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Finding the Fourth Proportional to 7,089.64, 10,634.90 and 2,159.62

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Solution

The fourth proportional to 7,089.64, 10,634.90 and 2,159.62 is: 3,239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.64 : 10,634.90 = 2,159.62 : x
  2. Step 2: Convert to fraction form
    7,089.64/10,634.90 = 2,159.62/x
  3. Step 3: Cross multiply
    7,089.64x = 10,634.90 × 2,159.62
  4. Step 4: Simplify right side
    7,089.64x = 22,967,331.94
  5. Step 5: Solve for x
    x = 22,967,331.94/7,089.64
  6. Step 6: Final answer
    x = 3,239.56

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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.