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Finding the Fourth Proportional to 3,172.32, 4,380.48 and 3,009.24

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Solution

The fourth proportional to 3,172.32, 4,380.48 and 3,009.24 is: 4,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.32 : 4,380.48 = 3,009.24 : x
  2. Step 2: Convert to fraction form
    3,172.32/4,380.48 = 3,009.24/x
  3. Step 3: Cross multiply
    3,172.32x = 4,380.48 × 3,009.24
  4. Step 4: Simplify right side
    3,172.32x = 13,181,915.64
  5. Step 5: Solve for x
    x = 13,181,915.64/3,172.32
  6. Step 6: Final answer
    x = 4,155.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.