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Finding the Fourth Proportional to 5,177.72, 7,764.69 and 1,889.84

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Solution

The fourth proportional to 5,177.72, 7,764.69 and 1,889.84 is: 2,834.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.72 : 7,764.69 = 1,889.84 : x
  2. Step 2: Convert to fraction form
    5,177.72/7,764.69 = 1,889.84/x
  3. Step 3: Cross multiply
    5,177.72x = 7,764.69 × 1,889.84
  4. Step 4: Simplify right side
    5,177.72x = 14,674,021.75
  5. Step 5: Solve for x
    x = 14,674,021.75/5,177.72
  6. Step 6: Final answer
    x = 2,834.07

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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.