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Finding the Fourth Proportional to 3,663.36, 5,494.23 and 1,323

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Solution

The fourth proportional to 3,663.36, 5,494.23 and 1,323 is: 1,984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.36 : 5,494.23 = 1,323 : x
  2. Step 2: Convert to fraction form
    3,663.36/5,494.23 = 1,323/x
  3. Step 3: Cross multiply
    3,663.36x = 5,494.23 × 1,323
  4. Step 4: Simplify right side
    3,663.36x = 7,268,866.29
  5. Step 5: Solve for x
    x = 7,268,866.29/3,663.36
  6. Step 6: Final answer
    x = 1,984.21

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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.