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Finding the Fourth Proportional to 14,632.20, 20,187 and 9,325.80

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Solution

The fourth proportional to 14,632.20, 20,187 and 9,325.80 is: 12,866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632.20 : 20,187 = 9,325.80 : x
  2. Step 2: Convert to fraction form
    14,632.20/20,187 = 9,325.80/x
  3. Step 3: Cross multiply
    14,632.20x = 20,187 × 9,325.80
  4. Step 4: Simplify right side
    14,632.20x = 188,259,924.60
  5. Step 5: Solve for x
    x = 188,259,924.60/14,632.20
  6. Step 6: Final answer
    x = 12,866.14

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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.