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Finding the Fourth Proportional to 5,470.66, 8,207.30 and 1,772.90

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Solution

The fourth proportional to 5,470.66, 8,207.30 and 1,772.90 is: 2,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.66 : 8,207.30 = 1,772.90 : x
  2. Step 2: Convert to fraction form
    5,470.66/8,207.30 = 1,772.90/x
  3. Step 3: Cross multiply
    5,470.66x = 8,207.30 × 1,772.90
  4. Step 4: Simplify right side
    5,470.66x = 14,550,722.17
  5. Step 5: Solve for x
    x = 14,550,722.17/5,470.66
  6. Step 6: Final answer
    x = 2,659.77

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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.