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Finding the Fourth Proportional to 5,825.88, 8,739 and 1,930.20

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Solution

The fourth proportional to 5,825.88, 8,739 and 1,930.20 is: 2,895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.88 : 8,739 = 1,930.20 : x
  2. Step 2: Convert to fraction form
    5,825.88/8,739 = 1,930.20/x
  3. Step 3: Cross multiply
    5,825.88x = 8,739 × 1,930.20
  4. Step 4: Simplify right side
    5,825.88x = 16,868,017.80
  5. Step 5: Solve for x
    x = 16,868,017.80/5,825.88
  6. Step 6: Final answer
    x = 2,895.36

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1.5x scale

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.