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Finding the Fourth Proportional to 2,909.81, 4,361.09 and 1,347.68

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Solution

The fourth proportional to 2,909.81, 4,361.09 and 1,347.68 is: 2,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.81 : 4,361.09 = 1,347.68 : x
  2. Step 2: Convert to fraction form
    2,909.81/4,361.09 = 1,347.68/x
  3. Step 3: Cross multiply
    2,909.81x = 4,361.09 × 1,347.68
  4. Step 4: Simplify right side
    2,909.81x = 5,877,325.23
  5. Step 5: Solve for x
    x = 5,877,325.23/2,909.81
  6. Step 6: Final answer
    x = 2,019.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.