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Finding the Fourth Proportional to 4,749.88, 7,122 and 1,462

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Solution

The fourth proportional to 4,749.88, 7,122 and 1,462 is: 2,192.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.88 : 7,122 = 1,462 : x
  2. Step 2: Convert to fraction form
    4,749.88/7,122 = 1,462/x
  3. Step 3: Cross multiply
    4,749.88x = 7,122 × 1,462
  4. Step 4: Simplify right side
    4,749.88x = 10,412,364
  5. Step 5: Solve for x
    x = 10,412,364/4,749.88
  6. Step 6: Final answer
    x = 2,192.13

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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.