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Finding the Fourth Proportional to 2,648.56, 3,655.08 and 1,600

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Solution

The fourth proportional to 2,648.56, 3,655.08 and 1,600 is: 2,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.56 : 3,655.08 = 1,600 : x
  2. Step 2: Convert to fraction form
    2,648.56/3,655.08 = 1,600/x
  3. Step 3: Cross multiply
    2,648.56x = 3,655.08 × 1,600
  4. Step 4: Simplify right side
    2,648.56x = 5,848,128
  5. Step 5: Solve for x
    x = 5,848,128/2,648.56
  6. Step 6: Final answer
    x = 2,208.04

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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.