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Finding the Fourth Proportional to 4,476.66, 6,715.39 and 1,189.88

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Solution

The fourth proportional to 4,476.66, 6,715.39 and 1,189.88 is: 1,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.66 : 6,715.39 = 1,189.88 : x
  2. Step 2: Convert to fraction form
    4,476.66/6,715.39 = 1,189.88/x
  3. Step 3: Cross multiply
    4,476.66x = 6,715.39 × 1,189.88
  4. Step 4: Simplify right side
    4,476.66x = 7,990,508.25
  5. Step 5: Solve for x
    x = 7,990,508.25/4,476.66
  6. Step 6: Final answer
    x = 1,784.93

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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.