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Finding the Fourth Proportional to 5,128, 7,692 and 1,480

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Solution

The fourth proportional to 5,128, 7,692 and 1,480 is: 2,220

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128 : 7,692 = 1,480 : x
  2. Step 2: Convert to fraction form
    5,128/7,692 = 1,480/x
  3. Step 3: Cross multiply
    5,128x = 7,692 × 1,480
  4. Step 4: Simplify right side
    5,128x = 11,384,160
  5. Step 5: Solve for x
    x = 11,384,160/5,128
  6. Step 6: Final answer
    x = 2,220

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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.