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Finding the Fourth Proportional to 5,978.70, 8,970.48 and 2,471.61

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Solution

The fourth proportional to 5,978.70, 8,970.48 and 2,471.61 is: 3,708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.70 : 8,970.48 = 2,471.61 : x
  2. Step 2: Convert to fraction form
    5,978.70/8,970.48 = 2,471.61/x
  3. Step 3: Cross multiply
    5,978.70x = 8,970.48 × 2,471.61
  4. Step 4: Simplify right side
    5,978.70x = 22,171,528.07
  5. Step 5: Solve for x
    x = 22,171,528.07/5,978.70
  6. Step 6: Final answer
    x = 3,708.42

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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.