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Finding the Fourth Proportional to 2,133.83, 2,956.10 and 2,082.80

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Solution

The fourth proportional to 2,133.83, 2,956.10 and 2,082.80 is: 2,885.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.83 : 2,956.10 = 2,082.80 : x
  2. Step 2: Convert to fraction form
    2,133.83/2,956.10 = 2,082.80/x
  3. Step 3: Cross multiply
    2,133.83x = 2,956.10 × 2,082.80
  4. Step 4: Simplify right side
    2,133.83x = 6,156,962.06
  5. Step 5: Solve for x
    x = 6,156,962.06/2,133.83
  6. Step 6: Final answer
    x = 2,885.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.