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Finding the Fourth Proportional to 13,495, 18,623.12 and 7,906

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Solution

The fourth proportional to 13,495, 18,623.12 and 7,906 is: 10,910.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,495 : 18,623.12 = 7,906 : x
  2. Step 2: Convert to fraction form
    13,495/18,623.12 = 7,906/x
  3. Step 3: Cross multiply
    13,495x = 18,623.12 × 7,906
  4. Step 4: Simplify right side
    13,495x = 147,234,386.72
  5. Step 5: Solve for x
    x = 147,234,386.72/13,495
  6. Step 6: Final answer
    x = 10,910.29

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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.