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Finding the Fourth Proportional to 14,704.98, 20,292.78 and 7,990.50

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Solution

The fourth proportional to 14,704.98, 20,292.78 and 7,990.50 is: 11,026.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.98 : 20,292.78 = 7,990.50 : x
  2. Step 2: Convert to fraction form
    14,704.98/20,292.78 = 7,990.50/x
  3. Step 3: Cross multiply
    14,704.98x = 20,292.78 × 7,990.50
  4. Step 4: Simplify right side
    14,704.98x = 162,149,458.59
  5. Step 5: Solve for x
    x = 162,149,458.59/14,704.98
  6. Step 6: Final answer
    x = 11,026.84

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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.