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Finding the Fourth Proportional to 2,798.81, 3,862.31 and 1,539.96

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Solution

The fourth proportional to 2,798.81, 3,862.31 and 1,539.96 is: 2,125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.81 : 3,862.31 = 1,539.96 : x
  2. Step 2: Convert to fraction form
    2,798.81/3,862.31 = 1,539.96/x
  3. Step 3: Cross multiply
    2,798.81x = 3,862.31 × 1,539.96
  4. Step 4: Simplify right side
    2,798.81x = 5,947,802.91
  5. Step 5: Solve for x
    x = 5,947,802.91/2,798.81
  6. Step 6: Final answer
    x = 2,125.12

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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.