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Finding the Fourth Proportional to 2,073.85, 3,110.75 and 840.93

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Solution

The fourth proportional to 2,073.85, 3,110.75 and 840.93 is: 1,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.85 : 3,110.75 = 840.93 : x
  2. Step 2: Convert to fraction form
    2,073.85/3,110.75 = 840.93/x
  3. Step 3: Cross multiply
    2,073.85x = 3,110.75 × 840.93
  4. Step 4: Simplify right side
    2,073.85x = 2,615,932.51
  5. Step 5: Solve for x
    x = 2,615,932.51/2,073.85
  6. Step 6: Final answer
    x = 1,261.39

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1.5x scale

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.