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Finding the Fourth Proportional to 2,083, 3,128.47 and 1,207.26

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Solution

The fourth proportional to 2,083, 3,128.47 and 1,207.26 is: 1,813.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083 : 3,128.47 = 1,207.26 : x
  2. Step 2: Convert to fraction form
    2,083/3,128.47 = 1,207.26/x
  3. Step 3: Cross multiply
    2,083x = 3,128.47 × 1,207.26
  4. Step 4: Simplify right side
    2,083x = 3,776,876.69
  5. Step 5: Solve for x
    x = 3,776,876.69/2,083
  6. Step 6: Final answer
    x = 1,813.19

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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.