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Finding the Fourth Proportional to 4,949, 7,417 and 2,758.76

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Solution

The fourth proportional to 4,949, 7,417 and 2,758.76 is: 4,134.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949 : 7,417 = 2,758.76 : x
  2. Step 2: Convert to fraction form
    4,949/7,417 = 2,758.76/x
  3. Step 3: Cross multiply
    4,949x = 7,417 × 2,758.76
  4. Step 4: Simplify right side
    4,949x = 20,461,722.92
  5. Step 5: Solve for x
    x = 20,461,722.92/4,949
  6. Step 6: Final answer
    x = 4,134.52

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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.