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Finding the Fourth Proportional to 5,402.28, 7,454.70 and 3,045

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Solution

The fourth proportional to 5,402.28, 7,454.70 and 3,045 is: 4,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.28 : 7,454.70 = 3,045 : x
  2. Step 2: Convert to fraction form
    5,402.28/7,454.70 = 3,045/x
  3. Step 3: Cross multiply
    5,402.28x = 7,454.70 × 3,045
  4. Step 4: Simplify right side
    5,402.28x = 22,699,561.50
  5. Step 5: Solve for x
    x = 22,699,561.50/5,402.28
  6. Step 6: Final answer
    x = 4,201.85

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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.