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Finding the Fourth Proportional to 4,475.42, 6,713.20 and 1,188.98

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Solution

The fourth proportional to 4,475.42, 6,713.20 and 1,188.98 is: 1,783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475.42 : 6,713.20 = 1,188.98 : x
  2. Step 2: Convert to fraction form
    4,475.42/6,713.20 = 1,188.98/x
  3. Step 3: Cross multiply
    4,475.42x = 6,713.20 × 1,188.98
  4. Step 4: Simplify right side
    4,475.42x = 7,981,860.54
  5. Step 5: Solve for x
    x = 7,981,860.54/4,475.42
  6. Step 6: Final answer
    x = 1,783.49

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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.