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Finding the Fourth Proportional to 13,532, 18,674.16 and 8,225.82

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Solution

The fourth proportional to 13,532, 18,674.16 and 8,225.82 is: 11,351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532 : 18,674.16 = 8,225.82 : x
  2. Step 2: Convert to fraction form
    13,532/18,674.16 = 8,225.82/x
  3. Step 3: Cross multiply
    13,532x = 18,674.16 × 8,225.82
  4. Step 4: Simplify right side
    13,532x = 153,610,278.81
  5. Step 5: Solve for x
    x = 153,610,278.81/13,532
  6. Step 6: Final answer
    x = 11,351.63

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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.