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Finding the Fourth Proportional to 3,705, 5,113 and 2,026.37

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Solution

The fourth proportional to 3,705, 5,113 and 2,026.37 is: 2,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705 : 5,113 = 2,026.37 : x
  2. Step 2: Convert to fraction form
    3,705/5,113 = 2,026.37/x
  3. Step 3: Cross multiply
    3,705x = 5,113 × 2,026.37
  4. Step 4: Simplify right side
    3,705x = 10,360,829.81
  5. Step 5: Solve for x
    x = 10,360,829.81/3,705
  6. Step 6: Final answer
    x = 2,796.45

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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.