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Finding the Fourth Proportional to 14,506.56, 20,019.12 and 8,220.16

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Solution

The fourth proportional to 14,506.56, 20,019.12 and 8,220.16 is: 11,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.56 : 20,019.12 = 8,220.16 : x
  2. Step 2: Convert to fraction form
    14,506.56/20,019.12 = 8,220.16/x
  3. Step 3: Cross multiply
    14,506.56x = 20,019.12 × 8,220.16
  4. Step 4: Simplify right side
    14,506.56x = 164,560,369.46
  5. Step 5: Solve for x
    x = 164,560,369.46/14,506.56
  6. Step 6: Final answer
    x = 11,343.86

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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.