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Finding the Fourth Proportional to 14,638.30, 20,200.86 and 7,923.90

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Solution

The fourth proportional to 14,638.30, 20,200.86 and 7,923.90 is: 10,934.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.30 : 20,200.86 = 7,923.90 : x
  2. Step 2: Convert to fraction form
    14,638.30/20,200.86 = 7,923.90/x
  3. Step 3: Cross multiply
    14,638.30x = 20,200.86 × 7,923.90
  4. Step 4: Simplify right side
    14,638.30x = 160,069,632.43
  5. Step 5: Solve for x
    x = 160,069,632.43/14,638.30
  6. Step 6: Final answer
    x = 10,934.99

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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.