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Finding the Fourth Proportional to 2,903.78, 4,008.42 and 2,064.62

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Solution

The fourth proportional to 2,903.78, 4,008.42 and 2,064.62 is: 2,850.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.78 : 4,008.42 = 2,064.62 : x
  2. Step 2: Convert to fraction form
    2,903.78/4,008.42 = 2,064.62/x
  3. Step 3: Cross multiply
    2,903.78x = 4,008.42 × 2,064.62
  4. Step 4: Simplify right side
    2,903.78x = 8,275,864.10
  5. Step 5: Solve for x
    x = 8,275,864.10/2,903.78
  6. Step 6: Final answer
    x = 2,850.03

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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.