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Finding the Fourth Proportional to 3,009.60, 4,512.60 and 1,448.64

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Solution

The fourth proportional to 3,009.60, 4,512.60 and 1,448.64 is: 2,172.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.60 : 4,512.60 = 1,448.64 : x
  2. Step 2: Convert to fraction form
    3,009.60/4,512.60 = 1,448.64/x
  3. Step 3: Cross multiply
    3,009.60x = 4,512.60 × 1,448.64
  4. Step 4: Simplify right side
    3,009.60x = 6,537,132.86
  5. Step 5: Solve for x
    x = 6,537,132.86/3,009.60
  6. Step 6: Final answer
    x = 2,172.09

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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.