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Finding the Fourth Proportional to 3,196.64, 4,410.80 and 1,780.08

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Solution

The fourth proportional to 3,196.64, 4,410.80 and 1,780.08 is: 2,456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.64 : 4,410.80 = 1,780.08 : x
  2. Step 2: Convert to fraction form
    3,196.64/4,410.80 = 1,780.08/x
  3. Step 3: Cross multiply
    3,196.64x = 4,410.80 × 1,780.08
  4. Step 4: Simplify right side
    3,196.64x = 7,851,576.86
  5. Step 5: Solve for x
    x = 7,851,576.86/3,196.64
  6. Step 6: Final answer
    x = 2,456.20

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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.