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Finding the Fourth Proportional to 5,782.57, 7,979.97 and 3,130.01

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Solution

The fourth proportional to 5,782.57, 7,979.97 and 3,130.01 is: 4,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.57 : 7,979.97 = 3,130.01 : x
  2. Step 2: Convert to fraction form
    5,782.57/7,979.97 = 3,130.01/x
  3. Step 3: Cross multiply
    5,782.57x = 7,979.97 × 3,130.01
  4. Step 4: Simplify right side
    5,782.57x = 24,977,385.90
  5. Step 5: Solve for x
    x = 24,977,385.90/5,782.57
  6. Step 6: Final answer
    x = 4,319.43

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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.