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Finding the Fourth Proportional to 14,504.86, 20,014.86 and 8,217.24

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Solution

The fourth proportional to 14,504.86, 20,014.86 and 8,217.24 is: 11,338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,504.86 : 20,014.86 = 8,217.24 : x
  2. Step 2: Convert to fraction form
    14,504.86/20,014.86 = 8,217.24/x
  3. Step 3: Cross multiply
    14,504.86x = 20,014.86 × 8,217.24
  4. Step 4: Simplify right side
    14,504.86x = 164,466,908.19
  5. Step 5: Solve for x
    x = 164,466,908.19/14,504.86
  6. Step 6: Final answer
    x = 11,338.74

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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.