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Finding the Fourth Proportional to 9,969.40, 13,755.72 and 5,989.60

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Solution

The fourth proportional to 9,969.40, 13,755.72 and 5,989.60 is: 8,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.40 : 13,755.72 = 5,989.60 : x
  2. Step 2: Convert to fraction form
    9,969.40/13,755.72 = 5,989.60/x
  3. Step 3: Cross multiply
    9,969.40x = 13,755.72 × 5,989.60
  4. Step 4: Simplify right side
    9,969.40x = 82,391,260.51
  5. Step 5: Solve for x
    x = 82,391,260.51/9,969.40
  6. Step 6: Final answer
    x = 8,264.42

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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.