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Finding the Fourth Proportional to 6,790, 9,385.89 and 5,664.38

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Solution

The fourth proportional to 6,790, 9,385.89 and 5,664.38 is: 7,829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790 : 9,385.89 = 5,664.38 : x
  2. Step 2: Convert to fraction form
    6,790/9,385.89 = 5,664.38/x
  3. Step 3: Cross multiply
    6,790x = 9,385.89 × 5,664.38
  4. Step 4: Simplify right side
    6,790x = 53,165,247.60
  5. Step 5: Solve for x
    x = 53,165,247.60/6,790
  6. Step 6: Final answer
    x = 7,829.93

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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.