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Finding the Fourth Proportional to 5,245.75, 7,869.84 and 1,783

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Solution

The fourth proportional to 5,245.75, 7,869.84 and 1,783 is: 2,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.75 : 7,869.84 = 1,783 : x
  2. Step 2: Convert to fraction form
    5,245.75/7,869.84 = 1,783/x
  3. Step 3: Cross multiply
    5,245.75x = 7,869.84 × 1,783
  4. Step 4: Simplify right side
    5,245.75x = 14,031,924.72
  5. Step 5: Solve for x
    x = 14,031,924.72/5,245.75
  6. Step 6: Final answer
    x = 2,674.91

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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.