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Finding the Fourth Proportional to 3,645, 5,030.22 and 1,989

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Solution

The fourth proportional to 3,645, 5,030.22 and 1,989 is: 2,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645 : 5,030.22 = 1,989 : x
  2. Step 2: Convert to fraction form
    3,645/5,030.22 = 1,989/x
  3. Step 3: Cross multiply
    3,645x = 5,030.22 × 1,989
  4. Step 4: Simplify right side
    3,645x = 10,005,107.58
  5. Step 5: Solve for x
    x = 10,005,107.58/3,645
  6. Step 6: Final answer
    x = 2,744.89

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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.