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Finding the Fourth Proportional to 2,084.85, 3,127.77 and 786.35

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Solution

The fourth proportional to 2,084.85, 3,127.77 and 786.35 is: 1,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.85 : 3,127.77 = 786.35 : x
  2. Step 2: Convert to fraction form
    2,084.85/3,127.77 = 786.35/x
  3. Step 3: Cross multiply
    2,084.85x = 3,127.77 × 786.35
  4. Step 4: Simplify right side
    2,084.85x = 2,459,506.30
  5. Step 5: Solve for x
    x = 2,459,506.30/2,084.85
  6. Step 6: Final answer
    x = 1,179.70

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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.