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Finding the Fourth Proportional to 9,243.40, 13,862.40 and 3,319.60

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Solution

The fourth proportional to 9,243.40, 13,862.40 and 3,319.60 is: 4,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.40 : 13,862.40 = 3,319.60 : x
  2. Step 2: Convert to fraction form
    9,243.40/13,862.40 = 3,319.60/x
  3. Step 3: Cross multiply
    9,243.40x = 13,862.40 × 3,319.60
  4. Step 4: Simplify right side
    9,243.40x = 46,017,623.04
  5. Step 5: Solve for x
    x = 46,017,623.04/9,243.40
  6. Step 6: Final answer
    x = 4,978.43

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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.