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Finding the Fourth Proportional to 2,925, 4,036.50 and 1,993.50

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Solution

The fourth proportional to 2,925, 4,036.50 and 1,993.50 is: 2,751.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925 : 4,036.50 = 1,993.50 : x
  2. Step 2: Convert to fraction form
    2,925/4,036.50 = 1,993.50/x
  3. Step 3: Cross multiply
    2,925x = 4,036.50 × 1,993.50
  4. Step 4: Simplify right side
    2,925x = 8,046,762.75
  5. Step 5: Solve for x
    x = 8,046,762.75/2,925
  6. Step 6: Final answer
    x = 2,751.03

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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.