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Finding the Fourth Proportional to 13,492.02, 20,225 and 8,549.40

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Solution

The fourth proportional to 13,492.02, 20,225 and 8,549.40 is: 12,815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.02 : 20,225 = 8,549.40 : x
  2. Step 2: Convert to fraction form
    13,492.02/20,225 = 8,549.40/x
  3. Step 3: Cross multiply
    13,492.02x = 20,225 × 8,549.40
  4. Step 4: Simplify right side
    13,492.02x = 172,911,615
  5. Step 5: Solve for x
    x = 172,911,615/13,492.02
  6. Step 6: Final answer
    x = 12,815.84

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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.