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Finding the Fourth Proportional to 6,445.69, 9,668.46 and 2,936.90

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Solution

The fourth proportional to 6,445.69, 9,668.46 and 2,936.90 is: 4,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.69 : 9,668.46 = 2,936.90 : x
  2. Step 2: Convert to fraction form
    6,445.69/9,668.46 = 2,936.90/x
  3. Step 3: Cross multiply
    6,445.69x = 9,668.46 × 2,936.90
  4. Step 4: Simplify right side
    6,445.69x = 28,395,300.17
  5. Step 5: Solve for x
    x = 28,395,300.17/6,445.69
  6. Step 6: Final answer
    x = 4,405.32

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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.