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Finding the Fourth Proportional to 6,968, 10,455.10 and 2,816.12

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Solution

The fourth proportional to 6,968, 10,455.10 and 2,816.12 is: 4,225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968 : 10,455.10 = 2,816.12 : x
  2. Step 2: Convert to fraction form
    6,968/10,455.10 = 2,816.12/x
  3. Step 3: Cross multiply
    6,968x = 10,455.10 × 2,816.12
  4. Step 4: Simplify right side
    6,968x = 29,442,749.86
  5. Step 5: Solve for x
    x = 29,442,749.86/6,968
  6. Step 6: Final answer
    x = 4,225.42

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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.