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Finding the Fourth Proportional to 11,697.77, 16,137.74 and 6,979.32

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Solution

The fourth proportional to 11,697.77, 16,137.74 and 6,979.32 is: 9,628.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.77 : 16,137.74 = 6,979.32 : x
  2. Step 2: Convert to fraction form
    11,697.77/16,137.74 = 6,979.32/x
  3. Step 3: Cross multiply
    11,697.77x = 16,137.74 × 6,979.32
  4. Step 4: Simplify right side
    11,697.77x = 112,630,416.64
  5. Step 5: Solve for x
    x = 112,630,416.64/11,697.77
  6. Step 6: Final answer
    x = 9,628.37

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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.