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Finding the Fourth Proportional to 28,224.28, 42,336.48 and 7,164.28

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Solution

The fourth proportional to 28,224.28, 42,336.48 and 7,164.28 is: 10,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,224.28 : 42,336.48 = 7,164.28 : x
  2. Step 2: Convert to fraction form
    28,224.28/42,336.48 = 7,164.28/x
  3. Step 3: Cross multiply
    28,224.28x = 42,336.48 × 7,164.28
  4. Step 4: Simplify right side
    28,224.28x = 303,310,396.93
  5. Step 5: Solve for x
    x = 303,310,396.93/28,224.28
  6. Step 6: Final answer
    x = 10,746.44

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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.