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Finding the Fourth Proportional to 4,997, 7,495.50 and 1,349

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Solution

The fourth proportional to 4,997, 7,495.50 and 1,349 is: 2,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997 : 7,495.50 = 1,349 : x
  2. Step 2: Convert to fraction form
    4,997/7,495.50 = 1,349/x
  3. Step 3: Cross multiply
    4,997x = 7,495.50 × 1,349
  4. Step 4: Simplify right side
    4,997x = 10,111,429.50
  5. Step 5: Solve for x
    x = 10,111,429.50/4,997
  6. Step 6: Final answer
    x = 2,023.50

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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.