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Finding the Fourth Proportional to 13,234, 18,278.28 and 8,810.32

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Solution

The fourth proportional to 13,234, 18,278.28 and 8,810.32 is: 12,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234 : 18,278.28 = 8,810.32 : x
  2. Step 2: Convert to fraction form
    13,234/18,278.28 = 8,810.32/x
  3. Step 3: Cross multiply
    13,234x = 18,278.28 × 8,810.32
  4. Step 4: Simplify right side
    13,234x = 161,037,495.85
  5. Step 5: Solve for x
    x = 161,037,495.85/13,234
  6. Step 6: Final answer
    x = 12,168.47

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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.