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Finding the Fourth Proportional to 8,539.50, 11,784.52 and 4,813.50

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Solution

The fourth proportional to 8,539.50, 11,784.52 and 4,813.50 is: 6,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.50 : 11,784.52 = 4,813.50 : x
  2. Step 2: Convert to fraction form
    8,539.50/11,784.52 = 4,813.50/x
  3. Step 3: Cross multiply
    8,539.50x = 11,784.52 × 4,813.50
  4. Step 4: Simplify right side
    8,539.50x = 56,724,787.02
  5. Step 5: Solve for x
    x = 56,724,787.02/8,539.50
  6. Step 6: Final answer
    x = 6,642.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.