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Finding the Fourth Proportional to 12,572.14, 18,851 and 5,181.70

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Solution

The fourth proportional to 12,572.14, 18,851 and 5,181.70 is: 7,769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.14 : 18,851 = 5,181.70 : x
  2. Step 2: Convert to fraction form
    12,572.14/18,851 = 5,181.70/x
  3. Step 3: Cross multiply
    12,572.14x = 18,851 × 5,181.70
  4. Step 4: Simplify right side
    12,572.14x = 97,680,226.70
  5. Step 5: Solve for x
    x = 97,680,226.70/12,572.14
  6. Step 6: Final answer
    x = 7,769.58

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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.