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Finding the Fourth Proportional to 9,884.95, 13,640.74 and 5,636.12

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Solution

The fourth proportional to 9,884.95, 13,640.74 and 5,636.12 is: 7,777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.95 : 13,640.74 = 5,636.12 : x
  2. Step 2: Convert to fraction form
    9,884.95/13,640.74 = 5,636.12/x
  3. Step 3: Cross multiply
    9,884.95x = 13,640.74 × 5,636.12
  4. Step 4: Simplify right side
    9,884.95x = 76,880,765.23
  5. Step 5: Solve for x
    x = 76,880,765.23/9,884.95
  6. Step 6: Final answer
    x = 7,777.56

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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.