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Finding the Fourth Proportional to 4,486.40, 6,728.96 and 1,408

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Solution

The fourth proportional to 4,486.40, 6,728.96 and 1,408 is: 2,111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.40 : 6,728.96 = 1,408 : x
  2. Step 2: Convert to fraction form
    4,486.40/6,728.96 = 1,408/x
  3. Step 3: Cross multiply
    4,486.40x = 6,728.96 × 1,408
  4. Step 4: Simplify right side
    4,486.40x = 9,474,375.68
  5. Step 5: Solve for x
    x = 9,474,375.68/4,486.40
  6. Step 6: Final answer
    x = 2,111.80

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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.