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Finding the Fourth Proportional to 9,683.19, 13,361.67 and 5,434.20

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Solution

The fourth proportional to 9,683.19, 13,361.67 and 5,434.20 is: 7,498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.19 : 13,361.67 = 5,434.20 : x
  2. Step 2: Convert to fraction form
    9,683.19/13,361.67 = 5,434.20/x
  3. Step 3: Cross multiply
    9,683.19x = 13,361.67 × 5,434.20
  4. Step 4: Simplify right side
    9,683.19x = 72,609,987.11
  5. Step 5: Solve for x
    x = 72,609,987.11/9,683.19
  6. Step 6: Final answer
    x = 7,498.56

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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.