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Finding the Fourth Proportional to 6,758.64, 10,137.96 and 2,142

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Solution

The fourth proportional to 6,758.64, 10,137.96 and 2,142 is: 3,213.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.64 : 10,137.96 = 2,142 : x
  2. Step 2: Convert to fraction form
    6,758.64/10,137.96 = 2,142/x
  3. Step 3: Cross multiply
    6,758.64x = 10,137.96 × 2,142
  4. Step 4: Simplify right side
    6,758.64x = 21,715,510.32
  5. Step 5: Solve for x
    x = 21,715,510.32/6,758.64
  6. Step 6: Final answer
    x = 3,213.00

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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.