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Finding the Fourth Proportional to 3,629.76, 5,009.76 and 2,058

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Solution

The fourth proportional to 3,629.76, 5,009.76 and 2,058 is: 2,840.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.76 : 5,009.76 = 2,058 : x
  2. Step 2: Convert to fraction form
    3,629.76/5,009.76 = 2,058/x
  3. Step 3: Cross multiply
    3,629.76x = 5,009.76 × 2,058
  4. Step 4: Simplify right side
    3,629.76x = 10,310,086.08
  5. Step 5: Solve for x
    x = 10,310,086.08/3,629.76
  6. Step 6: Final answer
    x = 2,840.43

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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.