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Finding the Fourth Proportional to 6,745, 10,117.50 and 3,097

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Solution

The fourth proportional to 6,745, 10,117.50 and 3,097 is: 4,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745 : 10,117.50 = 3,097 : x
  2. Step 2: Convert to fraction form
    6,745/10,117.50 = 3,097/x
  3. Step 3: Cross multiply
    6,745x = 10,117.50 × 3,097
  4. Step 4: Simplify right side
    6,745x = 31,333,897.50
  5. Step 5: Solve for x
    x = 31,333,897.50/6,745
  6. Step 6: Final answer
    x = 4,645.50

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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.