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Finding the Fourth Proportional to 2,798.79, 3,862.28 and 1,539.82

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Solution

The fourth proportional to 2,798.79, 3,862.28 and 1,539.82 is: 2,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.79 : 3,862.28 = 1,539.82 : x
  2. Step 2: Convert to fraction form
    2,798.79/3,862.28 = 1,539.82/x
  3. Step 3: Cross multiply
    2,798.79x = 3,862.28 × 1,539.82
  4. Step 4: Simplify right side
    2,798.79x = 5,947,210.18
  5. Step 5: Solve for x
    x = 5,947,210.18/2,798.79
  6. Step 6: Final answer
    x = 2,124.92

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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.