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Finding the Fourth Proportional to 6,591, 9,095.58 and 3,796.50

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Solution

The fourth proportional to 6,591, 9,095.58 and 3,796.50 is: 5,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591 : 9,095.58 = 3,796.50 : x
  2. Step 2: Convert to fraction form
    6,591/9,095.58 = 3,796.50/x
  3. Step 3: Cross multiply
    6,591x = 9,095.58 × 3,796.50
  4. Step 4: Simplify right side
    6,591x = 34,531,369.47
  5. Step 5: Solve for x
    x = 34,531,369.47/6,591
  6. Step 6: Final answer
    x = 5,239.17

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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.