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Finding the Fourth Proportional to 3,203.12, 4,804.80 and 1,978.40

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Solution

The fourth proportional to 3,203.12, 4,804.80 and 1,978.40 is: 2,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.12 : 4,804.80 = 1,978.40 : x
  2. Step 2: Convert to fraction form
    3,203.12/4,804.80 = 1,978.40/x
  3. Step 3: Cross multiply
    3,203.12x = 4,804.80 × 1,978.40
  4. Step 4: Simplify right side
    3,203.12x = 9,505,816.32
  5. Step 5: Solve for x
    x = 9,505,816.32/3,203.12
  6. Step 6: Final answer
    x = 2,967.67

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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.