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Finding the Fourth Proportional to 2,804.76, 3,871.26 and 2,007.72

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Solution

The fourth proportional to 2,804.76, 3,871.26 and 2,007.72 is: 2,771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.76 : 3,871.26 = 2,007.72 : x
  2. Step 2: Convert to fraction form
    2,804.76/3,871.26 = 2,007.72/x
  3. Step 3: Cross multiply
    2,804.76x = 3,871.26 × 2,007.72
  4. Step 4: Simplify right side
    2,804.76x = 7,772,406.13
  5. Step 5: Solve for x
    x = 7,772,406.13/2,804.76
  6. Step 6: Final answer
    x = 2,771.15

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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.