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Finding the Fourth Proportional to 4,538, 6,243 and 4,343.60

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Solution

The fourth proportional to 4,538, 6,243 and 4,343.60 is: 5,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538 : 6,243 = 4,343.60 : x
  2. Step 2: Convert to fraction form
    4,538/6,243 = 4,343.60/x
  3. Step 3: Cross multiply
    4,538x = 6,243 × 4,343.60
  4. Step 4: Simplify right side
    4,538x = 27,117,094.80
  5. Step 5: Solve for x
    x = 27,117,094.80/4,538
  6. Step 6: Final answer
    x = 5,975.56

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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.