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Finding the Fourth Proportional to 8,699.87, 13,033.38 and 6,742.50

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Solution

The fourth proportional to 8,699.87, 13,033.38 and 6,742.50 is: 10,101.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,699.87 : 13,033.38 = 6,742.50 : x
  2. Step 2: Convert to fraction form
    8,699.87/13,033.38 = 6,742.50/x
  3. Step 3: Cross multiply
    8,699.87x = 13,033.38 × 6,742.50
  4. Step 4: Simplify right side
    8,699.87x = 87,877,564.65
  5. Step 5: Solve for x
    x = 87,877,564.65/8,699.87
  6. Step 6: Final answer
    x = 10,101.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.