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Finding the Fourth Proportional to 2,915.54, 4,024 and 2,021.70

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Solution

The fourth proportional to 2,915.54, 4,024 and 2,021.70 is: 2,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.54 : 4,024 = 2,021.70 : x
  2. Step 2: Convert to fraction form
    2,915.54/4,024 = 2,021.70/x
  3. Step 3: Cross multiply
    2,915.54x = 4,024 × 2,021.70
  4. Step 4: Simplify right side
    2,915.54x = 8,135,320.80
  5. Step 5: Solve for x
    x = 8,135,320.80/2,915.54
  6. Step 6: Final answer
    x = 2,790.34

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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.