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Finding the Fourth Proportional to 3,051.74, 4,210.73 and 1,989.41

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Solution

The fourth proportional to 3,051.74, 4,210.73 and 1,989.41 is: 2,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.74 : 4,210.73 = 1,989.41 : x
  2. Step 2: Convert to fraction form
    3,051.74/4,210.73 = 1,989.41/x
  3. Step 3: Cross multiply
    3,051.74x = 4,210.73 × 1,989.41
  4. Step 4: Simplify right side
    3,051.74x = 8,376,868.95
  5. Step 5: Solve for x
    x = 8,376,868.95/3,051.74
  6. Step 6: Final answer
    x = 2,744.95

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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.