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Finding the Fourth Proportional to 3,435.81, 4,741.27 and 1,943.40

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Solution

The fourth proportional to 3,435.81, 4,741.27 and 1,943.40 is: 2,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.81 : 4,741.27 = 1,943.40 : x
  2. Step 2: Convert to fraction form
    3,435.81/4,741.27 = 1,943.40/x
  3. Step 3: Cross multiply
    3,435.81x = 4,741.27 × 1,943.40
  4. Step 4: Simplify right side
    3,435.81x = 9,214,184.12
  5. Step 5: Solve for x
    x = 9,214,184.12/3,435.81
  6. Step 6: Final answer
    x = 2,681.81

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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.