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Finding the Fourth Proportional to 13,570.68, 20,343.06 and 8,625

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Solution

The fourth proportional to 13,570.68, 20,343.06 and 8,625 is: 12,929.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.68 : 20,343.06 = 8,625 : x
  2. Step 2: Convert to fraction form
    13,570.68/20,343.06 = 8,625/x
  3. Step 3: Cross multiply
    13,570.68x = 20,343.06 × 8,625
  4. Step 4: Simplify right side
    13,570.68x = 175,458,892.50
  5. Step 5: Solve for x
    x = 175,458,892.50/13,570.68
  6. Step 6: Final answer
    x = 12,929.26

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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.