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Finding the Fourth Proportional to 14,024.81, 20,999.94 and 8,470.64

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Solution

The fourth proportional to 14,024.81, 20,999.94 and 8,470.64 is: 12,683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.81 : 20,999.94 = 8,470.64 : x
  2. Step 2: Convert to fraction form
    14,024.81/20,999.94 = 8,470.64/x
  3. Step 3: Cross multiply
    14,024.81x = 20,999.94 × 8,470.64
  4. Step 4: Simplify right side
    14,024.81x = 177,882,826.76
  5. Step 5: Solve for x
    x = 177,882,826.76/14,024.81
  6. Step 6: Final answer
    x = 12,683.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.