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Finding the Fourth Proportional to 3,169.64, 4,373.86 and 1,772.20

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Solution

The fourth proportional to 3,169.64, 4,373.86 and 1,772.20 is: 2,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.64 : 4,373.86 = 1,772.20 : x
  2. Step 2: Convert to fraction form
    3,169.64/4,373.86 = 1,772.20/x
  3. Step 3: Cross multiply
    3,169.64x = 4,373.86 × 1,772.20
  4. Step 4: Simplify right side
    3,169.64x = 7,751,354.69
  5. Step 5: Solve for x
    x = 7,751,354.69/3,169.64
  6. Step 6: Final answer
    x = 2,445.50

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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.