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Finding the Fourth Proportional to 19,658.80, 27,083 and 13,680.20

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Solution

The fourth proportional to 19,658.80, 27,083 and 13,680.20 is: 18,846.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.80 : 27,083 = 13,680.20 : x
  2. Step 2: Convert to fraction form
    19,658.80/27,083 = 13,680.20/x
  3. Step 3: Cross multiply
    19,658.80x = 27,083 × 13,680.20
  4. Step 4: Simplify right side
    19,658.80x = 370,500,856.60
  5. Step 5: Solve for x
    x = 370,500,856.60/19,658.80
  6. Step 6: Final answer
    x = 18,846.57

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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.