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Finding the Fourth Proportional to 5,470.75, 8,202.48 and 2,547.46

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Solution

The fourth proportional to 5,470.75, 8,202.48 and 2,547.46 is: 3,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.75 : 8,202.48 = 2,547.46 : x
  2. Step 2: Convert to fraction form
    5,470.75/8,202.48 = 2,547.46/x
  3. Step 3: Cross multiply
    5,470.75x = 8,202.48 × 2,547.46
  4. Step 4: Simplify right side
    5,470.75x = 20,895,489.70
  5. Step 5: Solve for x
    x = 20,895,489.70/5,470.75
  6. Step 6: Final answer
    x = 3,819.49

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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.