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Finding the Fourth Proportional to 13,369.92, 18,443.34 and 8,646

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Solution

The fourth proportional to 13,369.92, 18,443.34 and 8,646 is: 11,926.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,369.92 : 18,443.34 = 8,646 : x
  2. Step 2: Convert to fraction form
    13,369.92/18,443.34 = 8,646/x
  3. Step 3: Cross multiply
    13,369.92x = 18,443.34 × 8,646
  4. Step 4: Simplify right side
    13,369.92x = 159,461,117.64
  5. Step 5: Solve for x
    x = 159,461,117.64/13,369.92
  6. Step 6: Final answer
    x = 11,926.86

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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.