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Finding the Fourth Proportional to 2,804.99, 3,871.07 and 1,859.15

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Solution

The fourth proportional to 2,804.99, 3,871.07 and 1,859.15 is: 2,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.99 : 3,871.07 = 1,859.15 : x
  2. Step 2: Convert to fraction form
    2,804.99/3,871.07 = 1,859.15/x
  3. Step 3: Cross multiply
    2,804.99x = 3,871.07 × 1,859.15
  4. Step 4: Simplify right side
    2,804.99x = 7,196,871.14
  5. Step 5: Solve for x
    x = 7,196,871.14/2,804.99
  6. Step 6: Final answer
    x = 2,565.74

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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.