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Finding the Fourth Proportional to 2,810.66, 3,879.30 and 1,866.53

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Solution

The fourth proportional to 2,810.66, 3,879.30 and 1,866.53 is: 2,576.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.66 : 3,879.30 = 1,866.53 : x
  2. Step 2: Convert to fraction form
    2,810.66/3,879.30 = 1,866.53/x
  3. Step 3: Cross multiply
    2,810.66x = 3,879.30 × 1,866.53
  4. Step 4: Simplify right side
    2,810.66x = 7,240,829.83
  5. Step 5: Solve for x
    x = 7,240,829.83/2,810.66
  6. Step 6: Final answer
    x = 2,576.20

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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.