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Finding the Fourth Proportional to 9,980.49, 13,774.71 and 6,003.80

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Solution

The fourth proportional to 9,980.49, 13,774.71 and 6,003.80 is: 8,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.49 : 13,774.71 = 6,003.80 : x
  2. Step 2: Convert to fraction form
    9,980.49/13,774.71 = 6,003.80/x
  3. Step 3: Cross multiply
    9,980.49x = 13,774.71 × 6,003.80
  4. Step 4: Simplify right side
    9,980.49x = 82,700,603.90
  5. Step 5: Solve for x
    x = 82,700,603.90/9,980.49
  6. Step 6: Final answer
    x = 8,286.23

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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.