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Finding the Fourth Proportional to 1,688.29, 2,536.70 and 1,072.29

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Solution

The fourth proportional to 1,688.29, 2,536.70 and 1,072.29 is: 1,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.29 : 2,536.70 = 1,072.29 : x
  2. Step 2: Convert to fraction form
    1,688.29/2,536.70 = 1,072.29/x
  3. Step 3: Cross multiply
    1,688.29x = 2,536.70 × 1,072.29
  4. Step 4: Simplify right side
    1,688.29x = 2,720,078.04
  5. Step 5: Solve for x
    x = 2,720,078.04/1,688.29
  6. Step 6: Final answer
    x = 1,611.14

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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.