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Finding the Fourth Proportional to 4,930, 7,395 and 1,282

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Solution

The fourth proportional to 4,930, 7,395 and 1,282 is: 1,923

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930 : 7,395 = 1,282 : x
  2. Step 2: Convert to fraction form
    4,930/7,395 = 1,282/x
  3. Step 3: Cross multiply
    4,930x = 7,395 × 1,282
  4. Step 4: Simplify right side
    4,930x = 9,480,390
  5. Step 5: Solve for x
    x = 9,480,390/4,930
  6. Step 6: Final answer
    x = 1,923

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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.