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Finding the Fourth Proportional to 5,983.40, 8,978.84 and 2,285.95

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Solution

The fourth proportional to 5,983.40, 8,978.84 and 2,285.95 is: 3,430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.40 : 8,978.84 = 2,285.95 : x
  2. Step 2: Convert to fraction form
    5,983.40/8,978.84 = 2,285.95/x
  3. Step 3: Cross multiply
    5,983.40x = 8,978.84 × 2,285.95
  4. Step 4: Simplify right side
    5,983.40x = 20,525,179.30
  5. Step 5: Solve for x
    x = 20,525,179.30/5,983.40
  6. Step 6: Final answer
    x = 3,430.35

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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.