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Finding the Fourth Proportional to 5,243.16, 7,869.42 and 3,940.68

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Solution

The fourth proportional to 5,243.16, 7,869.42 and 3,940.68 is: 5,914.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.16 : 7,869.42 = 3,940.68 : x
  2. Step 2: Convert to fraction form
    5,243.16/7,869.42 = 3,940.68/x
  3. Step 3: Cross multiply
    5,243.16x = 7,869.42 × 3,940.68
  4. Step 4: Simplify right side
    5,243.16x = 31,010,866.01
  5. Step 5: Solve for x
    x = 31,010,866.01/5,243.16
  6. Step 6: Final answer
    x = 5,914.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.