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Finding the Fourth Proportional to 8,542.50, 11,788.74 and 4,816.50

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Solution

The fourth proportional to 8,542.50, 11,788.74 and 4,816.50 is: 6,646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.50 : 11,788.74 = 4,816.50 : x
  2. Step 2: Convert to fraction form
    8,542.50/11,788.74 = 4,816.50/x
  3. Step 3: Cross multiply
    8,542.50x = 11,788.74 × 4,816.50
  4. Step 4: Simplify right side
    8,542.50x = 56,780,466.21
  5. Step 5: Solve for x
    x = 56,780,466.21/8,542.50
  6. Step 6: Final answer
    x = 6,646.82

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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.