Home / 3,106.56-4,286.40-1,780.16

Finding the Fourth Proportional to 3,106.56, 4,286.40 and 1,780.16

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Solution

The fourth proportional to 3,106.56, 4,286.40 and 1,780.16 is: 2,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.56 : 4,286.40 = 1,780.16 : x
  2. Step 2: Convert to fraction form
    3,106.56/4,286.40 = 1,780.16/x
  3. Step 3: Cross multiply
    3,106.56x = 4,286.40 × 1,780.16
  4. Step 4: Simplify right side
    3,106.56x = 7,630,477.82
  5. Step 5: Solve for x
    x = 7,630,477.82/3,106.56
  6. Step 6: Final answer
    x = 2,456.25

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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.