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Finding the Fourth Proportional to 13,423.78, 20,147.82 and 7,189.06

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Solution

The fourth proportional to 13,423.78, 20,147.82 and 7,189.06 is: 10,790.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.78 : 20,147.82 = 7,189.06 : x
  2. Step 2: Convert to fraction form
    13,423.78/20,147.82 = 7,189.06/x
  3. Step 3: Cross multiply
    13,423.78x = 20,147.82 × 7,189.06
  4. Step 4: Simplify right side
    13,423.78x = 144,843,886.85
  5. Step 5: Solve for x
    x = 144,843,886.85/13,423.78
  6. Step 6: Final answer
    x = 10,790.10

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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.