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Finding the Fourth Proportional to 14,508.16, 20,021.25 and 8,220.54

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Solution

The fourth proportional to 14,508.16, 20,021.25 and 8,220.54 is: 11,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,508.16 : 20,021.25 = 8,220.54 : x
  2. Step 2: Convert to fraction form
    14,508.16/20,021.25 = 8,220.54/x
  3. Step 3: Cross multiply
    14,508.16x = 20,021.25 × 8,220.54
  4. Step 4: Simplify right side
    14,508.16x = 164,585,486.48
  5. Step 5: Solve for x
    x = 164,585,486.48/14,508.16
  6. Step 6: Final answer
    x = 11,344.34

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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.