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Finding the Fourth Proportional to 5,780.06, 7,976.46 and 3,127.46

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Solution

The fourth proportional to 5,780.06, 7,976.46 and 3,127.46 is: 4,315.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.06 : 7,976.46 = 3,127.46 : x
  2. Step 2: Convert to fraction form
    5,780.06/7,976.46 = 3,127.46/x
  3. Step 3: Cross multiply
    5,780.06x = 7,976.46 × 3,127.46
  4. Step 4: Simplify right side
    5,780.06x = 24,946,059.59
  5. Step 5: Solve for x
    x = 24,946,059.59/5,780.06
  6. Step 6: Final answer
    x = 4,315.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.