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Finding the Fourth Proportional to 13,372.68, 18,454.96 and 7,405

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Solution

The fourth proportional to 13,372.68, 18,454.96 and 7,405 is: 10,219.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,372.68 : 18,454.96 = 7,405 : x
  2. Step 2: Convert to fraction form
    13,372.68/18,454.96 = 7,405/x
  3. Step 3: Cross multiply
    13,372.68x = 18,454.96 × 7,405
  4. Step 4: Simplify right side
    13,372.68x = 136,658,978.80
  5. Step 5: Solve for x
    x = 136,658,978.80/13,372.68
  6. Step 6: Final answer
    x = 10,219.27

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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.