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Finding the Fourth Proportional to 2,139.64, 3,209.46 and 841.11

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Solution

The fourth proportional to 2,139.64, 3,209.46 and 841.11 is: 1,261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.64 : 3,209.46 = 841.11 : x
  2. Step 2: Convert to fraction form
    2,139.64/3,209.46 = 841.11/x
  3. Step 3: Cross multiply
    2,139.64x = 3,209.46 × 841.11
  4. Step 4: Simplify right side
    2,139.64x = 2,699,508.90
  5. Step 5: Solve for x
    x = 2,699,508.90/2,139.64
  6. Step 6: Final answer
    x = 1,261.67

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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.