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Finding the Fourth Proportional to 8,539.17, 11,784.83 and 5,182.84

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Solution

The fourth proportional to 8,539.17, 11,784.83 and 5,182.84 is: 7,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.17 : 11,784.83 = 5,182.84 : x
  2. Step 2: Convert to fraction form
    8,539.17/11,784.83 = 5,182.84/x
  3. Step 3: Cross multiply
    8,539.17x = 11,784.83 × 5,182.84
  4. Step 4: Simplify right side
    8,539.17x = 61,078,803.48
  5. Step 5: Solve for x
    x = 61,078,803.48/8,539.17
  6. Step 6: Final answer
    x = 7,152.78

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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.