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Finding the Fourth Proportional to 13,409.18, 18,505.72 and 7,442

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Solution

The fourth proportional to 13,409.18, 18,505.72 and 7,442 is: 10,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.18 : 18,505.72 = 7,442 : x
  2. Step 2: Convert to fraction form
    13,409.18/18,505.72 = 7,442/x
  3. Step 3: Cross multiply
    13,409.18x = 18,505.72 × 7,442
  4. Step 4: Simplify right side
    13,409.18x = 137,719,568.24
  5. Step 5: Solve for x
    x = 137,719,568.24/13,409.18
  6. Step 6: Final answer
    x = 10,270.54

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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.