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Finding the Fourth Proportional to 1,905.78, 2,630.02 and 1,347.23

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Solution

The fourth proportional to 1,905.78, 2,630.02 and 1,347.23 is: 1,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.78 : 2,630.02 = 1,347.23 : x
  2. Step 2: Convert to fraction form
    1,905.78/2,630.02 = 1,347.23/x
  3. Step 3: Cross multiply
    1,905.78x = 2,630.02 × 1,347.23
  4. Step 4: Simplify right side
    1,905.78x = 3,543,245.05
  5. Step 5: Solve for x
    x = 3,543,245.05/1,905.78
  6. Step 6: Final answer
    x = 1,859.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.