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Finding the Fourth Proportional to 14,700.70, 20,286.88 and 7,986.27

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Solution

The fourth proportional to 14,700.70, 20,286.88 and 7,986.27 is: 11,021.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700.70 : 20,286.88 = 7,986.27 : x
  2. Step 2: Convert to fraction form
    14,700.70/20,286.88 = 7,986.27/x
  3. Step 3: Cross multiply
    14,700.70x = 20,286.88 × 7,986.27
  4. Step 4: Simplify right side
    14,700.70x = 162,016,501.14
  5. Step 5: Solve for x
    x = 162,016,501.14/14,700.70
  6. Step 6: Final answer
    x = 11,021.01

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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.