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Finding the Fourth Proportional to 1,900.67, 2,851.08 and 602.14

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Solution

The fourth proportional to 1,900.67, 2,851.08 and 602.14 is: 903.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.67 : 2,851.08 = 602.14 : x
  2. Step 2: Convert to fraction form
    1,900.67/2,851.08 = 602.14/x
  3. Step 3: Cross multiply
    1,900.67x = 2,851.08 × 602.14
  4. Step 4: Simplify right side
    1,900.67x = 1,716,749.31
  5. Step 5: Solve for x
    x = 1,716,749.31/1,900.67
  6. Step 6: Final answer
    x = 903.23

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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.