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Finding the Fourth Proportional to 8,533.89, 12,802.05 and 2,689.88

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Solution

The fourth proportional to 8,533.89, 12,802.05 and 2,689.88 is: 4,035.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.89 : 12,802.05 = 2,689.88 : x
  2. Step 2: Convert to fraction form
    8,533.89/12,802.05 = 2,689.88/x
  3. Step 3: Cross multiply
    8,533.89x = 12,802.05 × 2,689.88
  4. Step 4: Simplify right side
    8,533.89x = 34,435,914.24
  5. Step 5: Solve for x
    x = 34,435,914.24/8,533.89
  6. Step 6: Final answer
    x = 4,035.20

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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.