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Finding the Fourth Proportional to 2,699.34, 3,725.78 and 2,101.83

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Solution

The fourth proportional to 2,699.34, 3,725.78 and 2,101.83 is: 2,901.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.34 : 3,725.78 = 2,101.83 : x
  2. Step 2: Convert to fraction form
    2,699.34/3,725.78 = 2,101.83/x
  3. Step 3: Cross multiply
    2,699.34x = 3,725.78 × 2,101.83
  4. Step 4: Simplify right side
    2,699.34x = 7,830,945.67
  5. Step 5: Solve for x
    x = 7,830,945.67/2,699.34
  6. Step 6: Final answer
    x = 2,901.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.