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Finding the Fourth Proportional to 28,224.36, 42,339.42 and 7,447.86

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Solution

The fourth proportional to 28,224.36, 42,339.42 and 7,447.86 is: 11,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,224.36 : 42,339.42 = 7,447.86 : x
  2. Step 2: Convert to fraction form
    28,224.36/42,339.42 = 7,447.86/x
  3. Step 3: Cross multiply
    28,224.36x = 42,339.42 × 7,447.86
  4. Step 4: Simplify right side
    28,224.36x = 315,338,072.64
  5. Step 5: Solve for x
    x = 315,338,072.64/28,224.36
  6. Step 6: Final answer
    x = 11,172.55

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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.