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Finding the Fourth Proportional to 8,450.64, 11,659.04 and 5,470.24

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Solution

The fourth proportional to 8,450.64, 11,659.04 and 5,470.24 is: 7,547.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,450.64 : 11,659.04 = 5,470.24 : x
  2. Step 2: Convert to fraction form
    8,450.64/11,659.04 = 5,470.24/x
  3. Step 3: Cross multiply
    8,450.64x = 11,659.04 × 5,470.24
  4. Step 4: Simplify right side
    8,450.64x = 63,777,746.97
  5. Step 5: Solve for x
    x = 63,777,746.97/8,450.64
  6. Step 6: Final answer
    x = 7,547.09

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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.