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Finding the Fourth Proportional to 2,102.93, 3,153.37 and 641.69

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Solution

The fourth proportional to 2,102.93, 3,153.37 and 641.69 is: 962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.93 : 3,153.37 = 641.69 : x
  2. Step 2: Convert to fraction form
    2,102.93/3,153.37 = 641.69/x
  3. Step 3: Cross multiply
    2,102.93x = 3,153.37 × 641.69
  4. Step 4: Simplify right side
    2,102.93x = 2,023,486.00
  5. Step 5: Solve for x
    x = 2,023,486.00/2,102.93
  6. Step 6: Final answer
    x = 962.22

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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.