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Finding the Fourth Proportional to 8,729, 13,095.90 and 2,573

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Solution

The fourth proportional to 8,729, 13,095.90 and 2,573 is: 3,860.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729 : 13,095.90 = 2,573 : x
  2. Step 2: Convert to fraction form
    8,729/13,095.90 = 2,573/x
  3. Step 3: Cross multiply
    8,729x = 13,095.90 × 2,573
  4. Step 4: Simplify right side
    8,729x = 33,695,750.70
  5. Step 5: Solve for x
    x = 33,695,750.70/8,729
  6. Step 6: Final answer
    x = 3,860.21

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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.