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Finding the Fourth Proportional to 2,064.06, 3,094.50 and 1,404.22

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Solution

The fourth proportional to 2,064.06, 3,094.50 and 1,404.22 is: 2,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.06 : 3,094.50 = 1,404.22 : x
  2. Step 2: Convert to fraction form
    2,064.06/3,094.50 = 1,404.22/x
  3. Step 3: Cross multiply
    2,064.06x = 3,094.50 × 1,404.22
  4. Step 4: Simplify right side
    2,064.06x = 4,345,358.79
  5. Step 5: Solve for x
    x = 4,345,358.79/2,064.06
  6. Step 6: Final answer
    x = 2,105.25

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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.