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Finding the Fourth Proportional to 8,436.94, 11,647.74 and 7,502.60

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Solution

The fourth proportional to 8,436.94, 11,647.74 and 7,502.60 is: 10,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.94 : 11,647.74 = 7,502.60 : x
  2. Step 2: Convert to fraction form
    8,436.94/11,647.74 = 7,502.60/x
  3. Step 3: Cross multiply
    8,436.94x = 11,647.74 × 7,502.60
  4. Step 4: Simplify right side
    8,436.94x = 87,388,391.38
  5. Step 5: Solve for x
    x = 87,388,391.38/8,436.94
  6. Step 6: Final answer
    x = 10,357.83

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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.