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Finding the Fourth Proportional to 6,878.85, 10,318.16 and 1,684.77

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Solution

The fourth proportional to 6,878.85, 10,318.16 and 1,684.77 is: 2,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.85 : 10,318.16 = 1,684.77 : x
  2. Step 2: Convert to fraction form
    6,878.85/10,318.16 = 1,684.77/x
  3. Step 3: Cross multiply
    6,878.85x = 10,318.16 × 1,684.77
  4. Step 4: Simplify right side
    6,878.85x = 17,383,718.00
  5. Step 5: Solve for x
    x = 17,383,718.00/6,878.85
  6. Step 6: Final answer
    x = 2,527.13

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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.