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Finding the Fourth Proportional to 6,430.84, 9,649.88 and 2,968.09

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Solution

The fourth proportional to 6,430.84, 9,649.88 and 2,968.09 is: 4,453.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.84 : 9,649.88 = 2,968.09 : x
  2. Step 2: Convert to fraction form
    6,430.84/9,649.88 = 2,968.09/x
  3. Step 3: Cross multiply
    6,430.84x = 9,649.88 × 2,968.09
  4. Step 4: Simplify right side
    6,430.84x = 28,641,712.33
  5. Step 5: Solve for x
    x = 28,641,712.33/6,430.84
  6. Step 6: Final answer
    x = 4,453.81

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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.