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Finding the Fourth Proportional to 4,749.75, 7,123.41 and 1,978.94

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Solution

The fourth proportional to 4,749.75, 7,123.41 and 1,978.94 is: 2,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.75 : 7,123.41 = 1,978.94 : x
  2. Step 2: Convert to fraction form
    4,749.75/7,123.41 = 1,978.94/x
  3. Step 3: Cross multiply
    4,749.75x = 7,123.41 × 1,978.94
  4. Step 4: Simplify right side
    4,749.75x = 14,096,818.79
  5. Step 5: Solve for x
    x = 14,096,818.79/4,749.75
  6. Step 6: Final answer
    x = 2,967.91

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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.