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Finding the Fourth Proportional to 5,430.26, 7,494 and 3,072.44

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Solution

The fourth proportional to 5,430.26, 7,494 and 3,072.44 is: 4,240.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.26 : 7,494 = 3,072.44 : x
  2. Step 2: Convert to fraction form
    5,430.26/7,494 = 3,072.44/x
  3. Step 3: Cross multiply
    5,430.26x = 7,494 × 3,072.44
  4. Step 4: Simplify right side
    5,430.26x = 23,024,865.36
  5. Step 5: Solve for x
    x = 23,024,865.36/5,430.26
  6. Step 6: Final answer
    x = 4,240.10

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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.