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Finding the Fourth Proportional to 2,168.50, 2,992.54 and 1,237

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Solution

The fourth proportional to 2,168.50, 2,992.54 and 1,237 is: 1,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.50 : 2,992.54 = 1,237 : x
  2. Step 2: Convert to fraction form
    2,168.50/2,992.54 = 1,237/x
  3. Step 3: Cross multiply
    2,168.50x = 2,992.54 × 1,237
  4. Step 4: Simplify right side
    2,168.50x = 3,701,771.98
  5. Step 5: Solve for x
    x = 3,701,771.98/2,168.50
  6. Step 6: Final answer
    x = 1,707.07

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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.