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Finding the Fourth Proportional to 3,182.00, 4,390.80 and 1,765.64

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Solution

The fourth proportional to 3,182.00, 4,390.80 and 1,765.64 is: 2,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.00 : 4,390.80 = 1,765.64 : x
  2. Step 2: Convert to fraction form
    3,182.00/4,390.80 = 1,765.64/x
  3. Step 3: Cross multiply
    3,182.00x = 4,390.80 × 1,765.64
  4. Step 4: Simplify right side
    3,182.00x = 7,752,565.55
  5. Step 5: Solve for x
    x = 7,752,565.55/3,182.00
  6. Step 6: Final answer
    x = 2,436.38

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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.