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Finding the Fourth Proportional to 5,768.85, 8,654.46 and 1,872.93

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Solution

The fourth proportional to 5,768.85, 8,654.46 and 1,872.93 is: 2,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.85 : 8,654.46 = 1,872.93 : x
  2. Step 2: Convert to fraction form
    5,768.85/8,654.46 = 1,872.93/x
  3. Step 3: Cross multiply
    5,768.85x = 8,654.46 × 1,872.93
  4. Step 4: Simplify right side
    5,768.85x = 16,209,197.77
  5. Step 5: Solve for x
    x = 16,209,197.77/5,768.85
  6. Step 6: Final answer
    x = 2,809.78

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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.