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Finding the Fourth Proportional to 2,300, 3,173.80 and 1,305.32

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Solution

The fourth proportional to 2,300, 3,173.80 and 1,305.32 is: 1,801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300 : 3,173.80 = 1,305.32 : x
  2. Step 2: Convert to fraction form
    2,300/3,173.80 = 1,305.32/x
  3. Step 3: Cross multiply
    2,300x = 3,173.80 × 1,305.32
  4. Step 4: Simplify right side
    2,300x = 4,142,824.62
  5. Step 5: Solve for x
    x = 4,142,824.62/2,300
  6. Step 6: Final answer
    x = 1,801.23

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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.