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Finding the Fourth Proportional to 14,953.20, 20,638.40 and 8,584.10

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Solution

The fourth proportional to 14,953.20, 20,638.40 and 8,584.10 is: 11,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,953.20 : 20,638.40 = 8,584.10 : x
  2. Step 2: Convert to fraction form
    14,953.20/20,638.40 = 8,584.10/x
  3. Step 3: Cross multiply
    14,953.20x = 20,638.40 × 8,584.10
  4. Step 4: Simplify right side
    14,953.20x = 177,162,089.44
  5. Step 5: Solve for x
    x = 177,162,089.44/14,953.20
  6. Step 6: Final answer
    x = 11,847.77

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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.