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Finding the Fourth Proportional to 5,402, 7,458 and 3,542.24

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Solution

The fourth proportional to 5,402, 7,458 and 3,542.24 is: 4,890.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402 : 7,458 = 3,542.24 : x
  2. Step 2: Convert to fraction form
    5,402/7,458 = 3,542.24/x
  3. Step 3: Cross multiply
    5,402x = 7,458 × 3,542.24
  4. Step 4: Simplify right side
    5,402x = 26,418,025.92
  5. Step 5: Solve for x
    x = 26,418,025.92/5,402
  6. Step 6: Final answer
    x = 4,890.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.