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Finding the Fourth Proportional to 2,102.49, 3,154.01 and 641.39

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Solution

The fourth proportional to 2,102.49, 3,154.01 and 641.39 is: 962.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.49 : 3,154.01 = 641.39 : x
  2. Step 2: Convert to fraction form
    2,102.49/3,154.01 = 641.39/x
  3. Step 3: Cross multiply
    2,102.49x = 3,154.01 × 641.39
  4. Step 4: Simplify right side
    2,102.49x = 2,022,931.50
  5. Step 5: Solve for x
    x = 2,022,931.50/2,102.49
  6. Step 6: Final answer
    x = 962.16

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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.