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Finding the Fourth Proportional to 13,324.33, 18,387.58 and 7,356

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Solution

The fourth proportional to 13,324.33, 18,387.58 and 7,356 is: 10,151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,324.33 : 18,387.58 = 7,356 : x
  2. Step 2: Convert to fraction form
    13,324.33/18,387.58 = 7,356/x
  3. Step 3: Cross multiply
    13,324.33x = 18,387.58 × 7,356
  4. Step 4: Simplify right side
    13,324.33x = 135,259,038.48
  5. Step 5: Solve for x
    x = 135,259,038.48/13,324.33
  6. Step 6: Final answer
    x = 10,151.28

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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.