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Finding the Fourth Proportional to 2,094.84, 3,145.91 and 1,930

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Solution

The fourth proportional to 2,094.84, 3,145.91 and 1,930 is: 2,898.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.84 : 3,145.91 = 1,930 : x
  2. Step 2: Convert to fraction form
    2,094.84/3,145.91 = 1,930/x
  3. Step 3: Cross multiply
    2,094.84x = 3,145.91 × 1,930
  4. Step 4: Simplify right side
    2,094.84x = 6,071,606.30
  5. Step 5: Solve for x
    x = 6,071,606.30/2,094.84
  6. Step 6: Final answer
    x = 2,898.36

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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.