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Finding the Fourth Proportional to 9,983.97, 13,782.30 and 6,448.90

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Solution

The fourth proportional to 9,983.97, 13,782.30 and 6,448.90 is: 8,902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.97 : 13,782.30 = 6,448.90 : x
  2. Step 2: Convert to fraction form
    9,983.97/13,782.30 = 6,448.90/x
  3. Step 3: Cross multiply
    9,983.97x = 13,782.30 × 6,448.90
  4. Step 4: Simplify right side
    9,983.97x = 88,880,642.23
  5. Step 5: Solve for x
    x = 88,880,642.23/9,983.97
  6. Step 6: Final answer
    x = 8,902.34

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Similar ratio
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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.