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Finding the Fourth Proportional to 2,084.40, 3,126.92 and 785.84

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Solution

The fourth proportional to 2,084.40, 3,126.92 and 785.84 is: 1,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.40 : 3,126.92 = 785.84 : x
  2. Step 2: Convert to fraction form
    2,084.40/3,126.92 = 785.84/x
  3. Step 3: Cross multiply
    2,084.40x = 3,126.92 × 785.84
  4. Step 4: Simplify right side
    2,084.40x = 2,457,258.81
  5. Step 5: Solve for x
    x = 2,457,258.81/2,084.40
  6. Step 6: Final answer
    x = 1,178.88

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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.