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Finding the Fourth Proportional to 13,758.54, 18,986.73 and 7,790.22

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Solution

The fourth proportional to 13,758.54, 18,986.73 and 7,790.22 is: 10,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.54 : 18,986.73 = 7,790.22 : x
  2. Step 2: Convert to fraction form
    13,758.54/18,986.73 = 7,790.22/x
  3. Step 3: Cross multiply
    13,758.54x = 18,986.73 × 7,790.22
  4. Step 4: Simplify right side
    13,758.54x = 147,910,803.78
  5. Step 5: Solve for x
    x = 147,910,803.78/13,758.54
  6. Step 6: Final answer
    x = 10,750.47

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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.