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Finding the Fourth Proportional to 3,785.84, 5,679.46 and 1,705.90

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Solution

The fourth proportional to 3,785.84, 5,679.46 and 1,705.90 is: 2,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.84 : 5,679.46 = 1,705.90 : x
  2. Step 2: Convert to fraction form
    3,785.84/5,679.46 = 1,705.90/x
  3. Step 3: Cross multiply
    3,785.84x = 5,679.46 × 1,705.90
  4. Step 4: Simplify right side
    3,785.84x = 9,688,590.81
  5. Step 5: Solve for x
    x = 9,688,590.81/3,785.84
  6. Step 6: Final answer
    x = 2,559.17

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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.