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Finding the Fourth Proportional to 2,703.40, 3,729.06 and 2,005.48

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Solution

The fourth proportional to 2,703.40, 3,729.06 and 2,005.48 is: 2,766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.40 : 3,729.06 = 2,005.48 : x
  2. Step 2: Convert to fraction form
    2,703.40/3,729.06 = 2,005.48/x
  3. Step 3: Cross multiply
    2,703.40x = 3,729.06 × 2,005.48
  4. Step 4: Simplify right side
    2,703.40x = 7,478,555.25
  5. Step 5: Solve for x
    x = 7,478,555.25/2,703.40
  6. Step 6: Final answer
    x = 2,766.35

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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.