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Finding the Fourth Proportional to 9,993.76, 13,775.12 and 8,000.80

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Solution

The fourth proportional to 9,993.76, 13,775.12 and 8,000.80 is: 11,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.76 : 13,775.12 = 8,000.80 : x
  2. Step 2: Convert to fraction form
    9,993.76/13,775.12 = 8,000.80/x
  3. Step 3: Cross multiply
    9,993.76x = 13,775.12 × 8,000.80
  4. Step 4: Simplify right side
    9,993.76x = 110,211,980.10
  5. Step 5: Solve for x
    x = 110,211,980.10/9,993.76
  6. Step 6: Final answer
    x = 11,028.08

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Double scale
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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.