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Finding the Fourth Proportional to 5,782.60, 7,979.94 and 3,129.98

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Solution

The fourth proportional to 5,782.60, 7,979.94 and 3,129.98 is: 4,319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.60 : 7,979.94 = 3,129.98 : x
  2. Step 2: Convert to fraction form
    5,782.60/7,979.94 = 3,129.98/x
  3. Step 3: Cross multiply
    5,782.60x = 7,979.94 × 3,129.98
  4. Step 4: Simplify right side
    5,782.60x = 24,977,052.60
  5. Step 5: Solve for x
    x = 24,977,052.60/5,782.60
  6. Step 6: Final answer
    x = 4,319.35

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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.