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Finding the Fourth Proportional to 2,699.54, 3,720.88 and 2,139.02

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Solution

The fourth proportional to 2,699.54, 3,720.88 and 2,139.02 is: 2,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.54 : 3,720.88 = 2,139.02 : x
  2. Step 2: Convert to fraction form
    2,699.54/3,720.88 = 2,139.02/x
  3. Step 3: Cross multiply
    2,699.54x = 3,720.88 × 2,139.02
  4. Step 4: Simplify right side
    2,699.54x = 7,959,012.79
  5. Step 5: Solve for x
    x = 7,959,012.79/2,699.54
  6. Step 6: Final answer
    x = 2,948.29

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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.