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Finding the Fourth Proportional to 12,813.99, 17,682.44 and 7,436.59

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Solution

The fourth proportional to 12,813.99, 17,682.44 and 7,436.59 is: 10,261.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.99 : 17,682.44 = 7,436.59 : x
  2. Step 2: Convert to fraction form
    12,813.99/17,682.44 = 7,436.59/x
  3. Step 3: Cross multiply
    12,813.99x = 17,682.44 × 7,436.59
  4. Step 4: Simplify right side
    12,813.99x = 131,496,975.09
  5. Step 5: Solve for x
    x = 131,496,975.09/12,813.99
  6. Step 6: Final answer
    x = 10,261.98

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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.