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Finding the Fourth Proportional to 9,662.09, 13,326.42 and 6,478.99

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Solution

The fourth proportional to 9,662.09, 13,326.42 and 6,478.99 is: 8,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.09 : 13,326.42 = 6,478.99 : x
  2. Step 2: Convert to fraction form
    9,662.09/13,326.42 = 6,478.99/x
  3. Step 3: Cross multiply
    9,662.09x = 13,326.42 × 6,478.99
  4. Step 4: Simplify right side
    9,662.09x = 86,341,732.90
  5. Step 5: Solve for x
    x = 86,341,732.90/9,662.09
  6. Step 6: Final answer
    x = 8,936.14

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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.