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Finding the Fourth Proportional to 5,177.82, 7,767.06 and 1,890.49

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Solution

The fourth proportional to 5,177.82, 7,767.06 and 1,890.49 is: 2,835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.82 : 7,767.06 = 1,890.49 : x
  2. Step 2: Convert to fraction form
    5,177.82/7,767.06 = 1,890.49/x
  3. Step 3: Cross multiply
    5,177.82x = 7,767.06 × 1,890.49
  4. Step 4: Simplify right side
    5,177.82x = 14,683,529.84
  5. Step 5: Solve for x
    x = 14,683,529.84/5,177.82
  6. Step 6: Final answer
    x = 2,835.85

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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.