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Finding the Fourth Proportional to 2,073.33, 3,110 and 840.51

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Solution

The fourth proportional to 2,073.33, 3,110 and 840.51 is: 1,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.33 : 3,110 = 840.51 : x
  2. Step 2: Convert to fraction form
    2,073.33/3,110 = 840.51/x
  3. Step 3: Cross multiply
    2,073.33x = 3,110 × 840.51
  4. Step 4: Simplify right side
    2,073.33x = 2,613,986.10
  5. Step 5: Solve for x
    x = 2,613,986.10/2,073.33
  6. Step 6: Final answer
    x = 1,260.77

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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.