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Finding the Fourth Proportional to 5,470.48, 8,204.73 and 1,772.20

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Solution

The fourth proportional to 5,470.48, 8,204.73 and 1,772.20 is: 2,657.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.48 : 8,204.73 = 1,772.20 : x
  2. Step 2: Convert to fraction form
    5,470.48/8,204.73 = 1,772.20/x
  3. Step 3: Cross multiply
    5,470.48x = 8,204.73 × 1,772.20
  4. Step 4: Simplify right side
    5,470.48x = 14,540,422.51
  5. Step 5: Solve for x
    x = 14,540,422.51/5,470.48
  6. Step 6: Final answer
    x = 2,657.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.