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Finding the Fourth Proportional to 13,495.56, 20,203.20 and 8,214.72

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Solution

The fourth proportional to 13,495.56, 20,203.20 and 8,214.72 is: 12,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,495.56 : 20,203.20 = 8,214.72 : x
  2. Step 2: Convert to fraction form
    13,495.56/20,203.20 = 8,214.72/x
  3. Step 3: Cross multiply
    13,495.56x = 20,203.20 × 8,214.72
  4. Step 4: Simplify right side
    13,495.56x = 165,963,631.10
  5. Step 5: Solve for x
    x = 165,963,631.10/13,495.56
  6. Step 6: Final answer
    x = 12,297.65

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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.