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Finding the Fourth Proportional to 16,212.78, 24,319.20 and 5,119.20

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Solution

The fourth proportional to 16,212.78, 24,319.20 and 5,119.20 is: 7,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.78 : 24,319.20 = 5,119.20 : x
  2. Step 2: Convert to fraction form
    16,212.78/24,319.20 = 5,119.20/x
  3. Step 3: Cross multiply
    16,212.78x = 24,319.20 × 5,119.20
  4. Step 4: Simplify right side
    16,212.78x = 124,494,848.64
  5. Step 5: Solve for x
    x = 124,494,848.64/16,212.78
  6. Step 6: Final answer
    x = 7,678.81

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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.