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Finding the Fourth Proportional to 2,611.80, 3,605.28 and 1,728.81

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Solution

The fourth proportional to 2,611.80, 3,605.28 and 1,728.81 is: 2,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.80 : 3,605.28 = 1,728.81 : x
  2. Step 2: Convert to fraction form
    2,611.80/3,605.28 = 1,728.81/x
  3. Step 3: Cross multiply
    2,611.80x = 3,605.28 × 1,728.81
  4. Step 4: Simplify right side
    2,611.80x = 6,232,844.12
  5. Step 5: Solve for x
    x = 6,232,844.12/2,611.80
  6. Step 6: Final answer
    x = 2,386.42

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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.