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Finding the Fourth Proportional to 4,708, 7,062.20 and 1,786.50

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Solution

The fourth proportional to 4,708, 7,062.20 and 1,786.50 is: 2,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708 : 7,062.20 = 1,786.50 : x
  2. Step 2: Convert to fraction form
    4,708/7,062.20 = 1,786.50/x
  3. Step 3: Cross multiply
    4,708x = 7,062.20 × 1,786.50
  4. Step 4: Simplify right side
    4,708x = 12,616,620.30
  5. Step 5: Solve for x
    x = 12,616,620.30/4,708
  6. Step 6: Final answer
    x = 2,679.83

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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.