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Finding the Fourth Proportional to 5,415.94, 7,452.30 and 4,156.48

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Solution

The fourth proportional to 5,415.94, 7,452.30 and 4,156.48 is: 5,719.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.94 : 7,452.30 = 4,156.48 : x
  2. Step 2: Convert to fraction form
    5,415.94/7,452.30 = 4,156.48/x
  3. Step 3: Cross multiply
    5,415.94x = 7,452.30 × 4,156.48
  4. Step 4: Simplify right side
    5,415.94x = 30,975,335.90
  5. Step 5: Solve for x
    x = 30,975,335.90/5,415.94
  6. Step 6: Final answer
    x = 5,719.29

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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.