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Finding the Fourth Proportional to 2,903.61, 4,003 and 1,995.09

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Solution

The fourth proportional to 2,903.61, 4,003 and 1,995.09 is: 2,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.61 : 4,003 = 1,995.09 : x
  2. Step 2: Convert to fraction form
    2,903.61/4,003 = 1,995.09/x
  3. Step 3: Cross multiply
    2,903.61x = 4,003 × 1,995.09
  4. Step 4: Simplify right side
    2,903.61x = 7,986,345.27
  5. Step 5: Solve for x
    x = 7,986,345.27/2,903.61
  6. Step 6: Final answer
    x = 2,750.49

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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.