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Finding the Fourth Proportional to 8,984.87, 13,489.18 and 7,677

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Solution

The fourth proportional to 8,984.87, 13,489.18 and 7,677 is: 11,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.87 : 13,489.18 = 7,677 : x
  2. Step 2: Convert to fraction form
    8,984.87/13,489.18 = 7,677/x
  3. Step 3: Cross multiply
    8,984.87x = 13,489.18 × 7,677
  4. Step 4: Simplify right side
    8,984.87x = 103,556,415.67
  5. Step 5: Solve for x
    x = 103,556,415.67/8,984.87
  6. Step 6: Final answer
    x = 11,525.65

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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.