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Finding the Fourth Proportional to 7,695.92, 11,479.06 and 6,448.88

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Solution

The fourth proportional to 7,695.92, 11,479.06 and 6,448.88 is: 9,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.92 : 11,479.06 = 6,448.88 : x
  2. Step 2: Convert to fraction form
    7,695.92/11,479.06 = 6,448.88/x
  3. Step 3: Cross multiply
    7,695.92x = 11,479.06 × 6,448.88
  4. Step 4: Simplify right side
    7,695.92x = 74,027,080.45
  5. Step 5: Solve for x
    x = 74,027,080.45/7,695.92
  6. Step 6: Final answer
    x = 9,619.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.