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Finding the Fourth Proportional to 7,551.66, 10,420.11 and 4,194.42

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Solution

The fourth proportional to 7,551.66, 10,420.11 and 4,194.42 is: 5,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.66 : 10,420.11 = 4,194.42 : x
  2. Step 2: Convert to fraction form
    7,551.66/10,420.11 = 4,194.42/x
  3. Step 3: Cross multiply
    7,551.66x = 10,420.11 × 4,194.42
  4. Step 4: Simplify right side
    7,551.66x = 43,706,317.79
  5. Step 5: Solve for x
    x = 43,706,317.79/7,551.66
  6. Step 6: Final answer
    x = 5,787.64

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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.