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Finding the Fourth Proportional to 5,128, 7,076.64 and 2,920

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Solution

The fourth proportional to 5,128, 7,076.64 and 2,920 is: 4,029.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128 : 7,076.64 = 2,920 : x
  2. Step 2: Convert to fraction form
    5,128/7,076.64 = 2,920/x
  3. Step 3: Cross multiply
    5,128x = 7,076.64 × 2,920
  4. Step 4: Simplify right side
    5,128x = 20,663,788.80
  5. Step 5: Solve for x
    x = 20,663,788.80/5,128
  6. Step 6: Final answer
    x = 4,029.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.