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Finding the Fourth Proportional to 9,879.94, 13,647.63 and 7,904.62

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Solution

The fourth proportional to 9,879.94, 13,647.63 and 7,904.62 is: 10,919.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.94 : 13,647.63 = 7,904.62 : x
  2. Step 2: Convert to fraction form
    9,879.94/13,647.63 = 7,904.62/x
  3. Step 3: Cross multiply
    9,879.94x = 13,647.63 × 7,904.62
  4. Step 4: Simplify right side
    9,879.94x = 107,879,329.05
  5. Step 5: Solve for x
    x = 107,879,329.05/9,879.94
  6. Step 6: Final answer
    x = 10,919.03

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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.