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Finding the Fourth Proportional to 2,146.47, 3,218.13 and 684.78

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Solution

The fourth proportional to 2,146.47, 3,218.13 and 684.78 is: 1,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.47 : 3,218.13 = 684.78 : x
  2. Step 2: Convert to fraction form
    2,146.47/3,218.13 = 684.78/x
  3. Step 3: Cross multiply
    2,146.47x = 3,218.13 × 684.78
  4. Step 4: Simplify right side
    2,146.47x = 2,203,711.06
  5. Step 5: Solve for x
    x = 2,203,711.06/2,146.47
  6. Step 6: Final answer
    x = 1,026.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.