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Finding the Fourth Proportional to 2,405, 3,588.89 and 2,145.80

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Solution

The fourth proportional to 2,405, 3,588.89 and 2,145.80 is: 3,202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405 : 3,588.89 = 2,145.80 : x
  2. Step 2: Convert to fraction form
    2,405/3,588.89 = 2,145.80/x
  3. Step 3: Cross multiply
    2,405x = 3,588.89 × 2,145.80
  4. Step 4: Simplify right side
    2,405x = 7,701,040.16
  5. Step 5: Solve for x
    x = 7,701,040.16/2,405
  6. Step 6: Final answer
    x = 3,202.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.