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Finding the Fourth Proportional to 2,102.34, 3,153.27 and 641.52

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Solution

The fourth proportional to 2,102.34, 3,153.27 and 641.52 is: 962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.34 : 3,153.27 = 641.52 : x
  2. Step 2: Convert to fraction form
    2,102.34/3,153.27 = 641.52/x
  3. Step 3: Cross multiply
    2,102.34x = 3,153.27 × 641.52
  4. Step 4: Simplify right side
    2,102.34x = 2,022,885.77
  5. Step 5: Solve for x
    x = 2,022,885.77/2,102.34
  6. Step 6: Final answer
    x = 962.21

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1.5x scale

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.