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Finding the Fourth Proportional to 6,642, 9,165.96 and 4,128.84

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Solution

The fourth proportional to 6,642, 9,165.96 and 4,128.84 is: 5,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642 : 9,165.96 = 4,128.84 : x
  2. Step 2: Convert to fraction form
    6,642/9,165.96 = 4,128.84/x
  3. Step 3: Cross multiply
    6,642x = 9,165.96 × 4,128.84
  4. Step 4: Simplify right side
    6,642x = 37,844,782.29
  5. Step 5: Solve for x
    x = 37,844,782.29/6,642
  6. Step 6: Final answer
    x = 5,697.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.