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Finding the Fourth Proportional to 2,986.35, 4,480.74 and 1,341.78

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Solution

The fourth proportional to 2,986.35, 4,480.74 and 1,341.78 is: 2,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.35 : 4,480.74 = 1,341.78 : x
  2. Step 2: Convert to fraction form
    2,986.35/4,480.74 = 1,341.78/x
  3. Step 3: Cross multiply
    2,986.35x = 4,480.74 × 1,341.78
  4. Step 4: Simplify right side
    2,986.35x = 6,012,167.32
  5. Step 5: Solve for x
    x = 6,012,167.32/2,986.35
  6. Step 6: Final answer
    x = 2,013.22

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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.