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Finding the Fourth Proportional to 1,913.84, 2,648.32 and 1,633.64

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Solution

The fourth proportional to 1,913.84, 2,648.32 and 1,633.64 is: 2,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.84 : 2,648.32 = 1,633.64 : x
  2. Step 2: Convert to fraction form
    1,913.84/2,648.32 = 1,633.64/x
  3. Step 3: Cross multiply
    1,913.84x = 2,648.32 × 1,633.64
  4. Step 4: Simplify right side
    1,913.84x = 4,326,401.48
  5. Step 5: Solve for x
    x = 4,326,401.48/1,913.84
  6. Step 6: Final answer
    x = 2,260.59

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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.