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Finding the Fourth Proportional to 5,396.31, 7,446.65 and 3,038.63

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Solution

The fourth proportional to 5,396.31, 7,446.65 and 3,038.63 is: 4,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.31 : 7,446.65 = 3,038.63 : x
  2. Step 2: Convert to fraction form
    5,396.31/7,446.65 = 3,038.63/x
  3. Step 3: Cross multiply
    5,396.31x = 7,446.65 × 3,038.63
  4. Step 4: Simplify right side
    5,396.31x = 22,627,561.66
  5. Step 5: Solve for x
    x = 22,627,561.66/5,396.31
  6. Step 6: Final answer
    x = 4,193.15

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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.