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Finding the Fourth Proportional to 2,135.00, 3,202.09 and 575.07

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Solution

The fourth proportional to 2,135.00, 3,202.09 and 575.07 is: 862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.00 : 3,202.09 = 575.07 : x
  2. Step 2: Convert to fraction form
    2,135.00/3,202.09 = 575.07/x
  3. Step 3: Cross multiply
    2,135.00x = 3,202.09 × 575.07
  4. Step 4: Simplify right side
    2,135.00x = 1,841,424.46
  5. Step 5: Solve for x
    x = 1,841,424.46/2,135.00
  6. Step 6: Final answer
    x = 862.50

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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.