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Finding the Fourth Proportional to 2,967.76, 4,453.24 and 1,428.76

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Solution

The fourth proportional to 2,967.76, 4,453.24 and 1,428.76 is: 2,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.76 : 4,453.24 = 1,428.76 : x
  2. Step 2: Convert to fraction form
    2,967.76/4,453.24 = 1,428.76/x
  3. Step 3: Cross multiply
    2,967.76x = 4,453.24 × 1,428.76
  4. Step 4: Simplify right side
    2,967.76x = 6,362,611.18
  5. Step 5: Solve for x
    x = 6,362,611.18/2,967.76
  6. Step 6: Final answer
    x = 2,143.91

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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.