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Finding the Fourth Proportional to 2,758.47, 4,137.66 and 678.49

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Solution

The fourth proportional to 2,758.47, 4,137.66 and 678.49 is: 1,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.47 : 4,137.66 = 678.49 : x
  2. Step 2: Convert to fraction form
    2,758.47/4,137.66 = 678.49/x
  3. Step 3: Cross multiply
    2,758.47x = 4,137.66 × 678.49
  4. Step 4: Simplify right side
    2,758.47x = 2,807,360.89
  5. Step 5: Solve for x
    x = 2,807,360.89/2,758.47
  6. Step 6: Final answer
    x = 1,017.73

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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.