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Finding the Fourth Proportional to 5,946.80, 8,912.50 and 5,119.52

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Solution

The fourth proportional to 5,946.80, 8,912.50 and 5,119.52 is: 7,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.80 : 8,912.50 = 5,119.52 : x
  2. Step 2: Convert to fraction form
    5,946.80/8,912.50 = 5,119.52/x
  3. Step 3: Cross multiply
    5,946.80x = 8,912.50 × 5,119.52
  4. Step 4: Simplify right side
    5,946.80x = 45,627,664.64
  5. Step 5: Solve for x
    x = 45,627,664.64/5,946.80
  6. Step 6: Final answer
    x = 7,672.65

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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.