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Finding the Fourth Proportional to 2,699.34, 3,725.03 and 1,520.40

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Solution

The fourth proportional to 2,699.34, 3,725.03 and 1,520.40 is: 2,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.34 : 3,725.03 = 1,520.40 : x
  2. Step 2: Convert to fraction form
    2,699.34/3,725.03 = 1,520.40/x
  3. Step 3: Cross multiply
    2,699.34x = 3,725.03 × 1,520.40
  4. Step 4: Simplify right side
    2,699.34x = 5,663,553.38
  5. Step 5: Solve for x
    x = 5,663,553.38/2,699.34
  6. Step 6: Final answer
    x = 2,098.13

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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.