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Finding the Fourth Proportional to 3,406.84, 4,701.86 and 1,914.82

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Solution

The fourth proportional to 3,406.84, 4,701.86 and 1,914.82 is: 2,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.84 : 4,701.86 = 1,914.82 : x
  2. Step 2: Convert to fraction form
    3,406.84/4,701.86 = 1,914.82/x
  3. Step 3: Cross multiply
    3,406.84x = 4,701.86 × 1,914.82
  4. Step 4: Simplify right side
    3,406.84x = 9,003,215.57
  5. Step 5: Solve for x
    x = 9,003,215.57/3,406.84
  6. Step 6: Final answer
    x = 2,642.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.