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Finding the Fourth Proportional to 13,595.73, 18,762.21 and 8,880

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Solution

The fourth proportional to 13,595.73, 18,762.21 and 8,880 is: 12,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,595.73 : 18,762.21 = 8,880 : x
  2. Step 2: Convert to fraction form
    13,595.73/18,762.21 = 8,880/x
  3. Step 3: Cross multiply
    13,595.73x = 18,762.21 × 8,880
  4. Step 4: Simplify right side
    13,595.73x = 166,608,424.80
  5. Step 5: Solve for x
    x = 166,608,424.80/13,595.73
  6. Step 6: Final answer
    x = 12,254.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.