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Finding the Fourth Proportional to 9,978.36, 13,766.60 and 5,996.40

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Solution

The fourth proportional to 9,978.36, 13,766.60 and 5,996.40 is: 8,272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.36 : 13,766.60 = 5,996.40 : x
  2. Step 2: Convert to fraction form
    9,978.36/13,766.60 = 5,996.40/x
  3. Step 3: Cross multiply
    9,978.36x = 13,766.60 × 5,996.40
  4. Step 4: Simplify right side
    9,978.36x = 82,550,040.24
  5. Step 5: Solve for x
    x = 82,550,040.24/9,978.36
  6. Step 6: Final answer
    x = 8,272.91

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1.5x scale

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.