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Finding the Fourth Proportional to 4,679.43, 7,013.05 and 1,902.86

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Solution

The fourth proportional to 4,679.43, 7,013.05 and 1,902.86 is: 2,851.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.43 : 7,013.05 = 1,902.86 : x
  2. Step 2: Convert to fraction form
    4,679.43/7,013.05 = 1,902.86/x
  3. Step 3: Cross multiply
    4,679.43x = 7,013.05 × 1,902.86
  4. Step 4: Simplify right side
    4,679.43x = 13,344,852.32
  5. Step 5: Solve for x
    x = 13,344,852.32/4,679.43
  6. Step 6: Final answer
    x = 2,851.81

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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.