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Finding the Fourth Proportional to 5,945.76, 8,208 and 4,178.88

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Solution

The fourth proportional to 5,945.76, 8,208 and 4,178.88 is: 5,768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.76 : 8,208 = 4,178.88 : x
  2. Step 2: Convert to fraction form
    5,945.76/8,208 = 4,178.88/x
  3. Step 3: Cross multiply
    5,945.76x = 8,208 × 4,178.88
  4. Step 4: Simplify right side
    5,945.76x = 34,300,247.04
  5. Step 5: Solve for x
    x = 34,300,247.04/5,945.76
  6. Step 6: Final answer
    x = 5,768.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.