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Finding the Fourth Proportional to 3,009.22, 4,512.16 and 928.64

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Solution

The fourth proportional to 3,009.22, 4,512.16 and 928.64 is: 1,392.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.22 : 4,512.16 = 928.64 : x
  2. Step 2: Convert to fraction form
    3,009.22/4,512.16 = 928.64/x
  3. Step 3: Cross multiply
    3,009.22x = 4,512.16 × 928.64
  4. Step 4: Simplify right side
    3,009.22x = 4,190,153.02
  5. Step 5: Solve for x
    x = 4,190,153.02/3,009.22
  6. Step 6: Final answer
    x = 1,392.44

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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.