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Finding the Fourth Proportional to 2,301.75, 3,451.14 and 840.78

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Solution

The fourth proportional to 2,301.75, 3,451.14 and 840.78 is: 1,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.75 : 3,451.14 = 840.78 : x
  2. Step 2: Convert to fraction form
    2,301.75/3,451.14 = 840.78/x
  3. Step 3: Cross multiply
    2,301.75x = 3,451.14 × 840.78
  4. Step 4: Simplify right side
    2,301.75x = 2,901,649.49
  5. Step 5: Solve for x
    x = 2,901,649.49/2,301.75
  6. Step 6: Final answer
    x = 1,260.63

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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.