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Finding the Fourth Proportional to 9,252, 13,879.20 and 3,409.20

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Solution

The fourth proportional to 9,252, 13,879.20 and 3,409.20 is: 5,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252 : 13,879.20 = 3,409.20 : x
  2. Step 2: Convert to fraction form
    9,252/13,879.20 = 3,409.20/x
  3. Step 3: Cross multiply
    9,252x = 13,879.20 × 3,409.20
  4. Step 4: Simplify right side
    9,252x = 47,316,968.64
  5. Step 5: Solve for x
    x = 47,316,968.64/9,252
  6. Step 6: Final answer
    x = 5,114.24

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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.