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Finding the Fourth Proportional to 2,890, 3,988.20 and 1,648

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Solution

The fourth proportional to 2,890, 3,988.20 and 1,648 is: 2,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890 : 3,988.20 = 1,648 : x
  2. Step 2: Convert to fraction form
    2,890/3,988.20 = 1,648/x
  3. Step 3: Cross multiply
    2,890x = 3,988.20 × 1,648
  4. Step 4: Simplify right side
    2,890x = 6,572,553.60
  5. Step 5: Solve for x
    x = 6,572,553.60/2,890
  6. Step 6: Final answer
    x = 2,274.24

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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.