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Finding the Fourth Proportional to 3,077.71, 4,247.28 and 1,680.46

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Solution

The fourth proportional to 3,077.71, 4,247.28 and 1,680.46 is: 2,319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.71 : 4,247.28 = 1,680.46 : x
  2. Step 2: Convert to fraction form
    3,077.71/4,247.28 = 1,680.46/x
  3. Step 3: Cross multiply
    3,077.71x = 4,247.28 × 1,680.46
  4. Step 4: Simplify right side
    3,077.71x = 7,137,384.15
  5. Step 5: Solve for x
    x = 7,137,384.15/3,077.71
  6. Step 6: Final answer
    x = 2,319.06

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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.