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Finding the Fourth Proportional to 2,101.79, 3,153.29 and 868.97

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Solution

The fourth proportional to 2,101.79, 3,153.29 and 868.97 is: 1,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.79 : 3,153.29 = 868.97 : x
  2. Step 2: Convert to fraction form
    2,101.79/3,153.29 = 868.97/x
  3. Step 3: Cross multiply
    2,101.79x = 3,153.29 × 868.97
  4. Step 4: Simplify right side
    2,101.79x = 2,740,094.30
  5. Step 5: Solve for x
    x = 2,740,094.30/2,101.79
  6. Step 6: Final answer
    x = 1,303.70

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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.