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Finding the Fourth Proportional to 8,530.54, 11,773.65 and 6,387.82

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Solution

The fourth proportional to 8,530.54, 11,773.65 and 6,387.82 is: 8,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.54 : 11,773.65 = 6,387.82 : x
  2. Step 2: Convert to fraction form
    8,530.54/11,773.65 = 6,387.82/x
  3. Step 3: Cross multiply
    8,530.54x = 11,773.65 × 6,387.82
  4. Step 4: Simplify right side
    8,530.54x = 75,207,956.94
  5. Step 5: Solve for x
    x = 75,207,956.94/8,530.54
  6. Step 6: Final answer
    x = 8,816.32

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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.