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Finding the Fourth Proportional to 9,662.64, 13,329.72 and 6,830.52

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Solution

The fourth proportional to 9,662.64, 13,329.72 and 6,830.52 is: 9,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.64 : 13,329.72 = 6,830.52 : x
  2. Step 2: Convert to fraction form
    9,662.64/13,329.72 = 6,830.52/x
  3. Step 3: Cross multiply
    9,662.64x = 13,329.72 × 6,830.52
  4. Step 4: Simplify right side
    9,662.64x = 91,048,919.05
  5. Step 5: Solve for x
    x = 91,048,919.05/9,662.64
  6. Step 6: Final answer
    x = 9,422.78

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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.