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Finding the Fourth Proportional to 6,968.64, 10,447.64 and 2,805.45

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Solution

The fourth proportional to 6,968.64, 10,447.64 and 2,805.45 is: 4,206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.64 : 10,447.64 = 2,805.45 : x
  2. Step 2: Convert to fraction form
    6,968.64/10,447.64 = 2,805.45/x
  3. Step 3: Cross multiply
    6,968.64x = 10,447.64 × 2,805.45
  4. Step 4: Simplify right side
    6,968.64x = 29,310,317.61
  5. Step 5: Solve for x
    x = 29,310,317.61/6,968.64
  6. Step 6: Final answer
    x = 4,206.03

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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.