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Finding the Fourth Proportional to 2,653.90, 3,662.74 and 1,910.32

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Solution

The fourth proportional to 2,653.90, 3,662.74 and 1,910.32 is: 2,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.90 : 3,662.74 = 1,910.32 : x
  2. Step 2: Convert to fraction form
    2,653.90/3,662.74 = 1,910.32/x
  3. Step 3: Cross multiply
    2,653.90x = 3,662.74 × 1,910.32
  4. Step 4: Simplify right side
    2,653.90x = 6,997,005.48
  5. Step 5: Solve for x
    x = 6,997,005.48/2,653.90
  6. Step 6: Final answer
    x = 2,636.50

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1.5x scale

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.