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Finding the Fourth Proportional to 2,509, 3,761.01 and 1,685.38

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Solution

The fourth proportional to 2,509, 3,761.01 and 1,685.38 is: 2,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509 : 3,761.01 = 1,685.38 : x
  2. Step 2: Convert to fraction form
    2,509/3,761.01 = 1,685.38/x
  3. Step 3: Cross multiply
    2,509x = 3,761.01 × 1,685.38
  4. Step 4: Simplify right side
    2,509x = 6,338,731.03
  5. Step 5: Solve for x
    x = 6,338,731.03/2,509
  6. Step 6: Final answer
    x = 2,526.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.