Home / 1,946.41-2,905.75-1,878.06

Finding the Fourth Proportional to 1,946.41, 2,905.75 and 1,878.06

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Solution

The fourth proportional to 1,946.41, 2,905.75 and 1,878.06 is: 2,803.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.41 : 2,905.75 = 1,878.06 : x
  2. Step 2: Convert to fraction form
    1,946.41/2,905.75 = 1,878.06/x
  3. Step 3: Cross multiply
    1,946.41x = 2,905.75 × 1,878.06
  4. Step 4: Simplify right side
    1,946.41x = 5,457,168.15
  5. Step 5: Solve for x
    x = 5,457,168.15/1,946.41
  6. Step 6: Final answer
    x = 2,803.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.