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Finding the Fourth Proportional to 5,179.44, 7,769.07 and 1,283.84

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Solution

The fourth proportional to 5,179.44, 7,769.07 and 1,283.84 is: 1,925.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.44 : 7,769.07 = 1,283.84 : x
  2. Step 2: Convert to fraction form
    5,179.44/7,769.07 = 1,283.84/x
  3. Step 3: Cross multiply
    5,179.44x = 7,769.07 × 1,283.84
  4. Step 4: Simplify right side
    5,179.44x = 9,974,203.98
  5. Step 5: Solve for x
    x = 9,974,203.98/5,179.44
  6. Step 6: Final answer
    x = 1,925.73

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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.