Home / 3,106.78-4,652.38-1,856.60

Finding the Fourth Proportional to 3,106.78, 4,652.38 and 1,856.60

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Solution

The fourth proportional to 3,106.78, 4,652.38 and 1,856.60 is: 2,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.78 : 4,652.38 = 1,856.60 : x
  2. Step 2: Convert to fraction form
    3,106.78/4,652.38 = 1,856.60/x
  3. Step 3: Cross multiply
    3,106.78x = 4,652.38 × 1,856.60
  4. Step 4: Simplify right side
    3,106.78x = 8,637,599.43
  5. Step 5: Solve for x
    x = 8,637,599.43/3,106.78
  6. Step 6: Final answer
    x = 2,780.25

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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.