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Finding the Fourth Proportional to 13,673.92, 18,870 and 7,386.29

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Solution

The fourth proportional to 13,673.92, 18,870 and 7,386.29 is: 10,193.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.92 : 18,870 = 7,386.29 : x
  2. Step 2: Convert to fraction form
    13,673.92/18,870 = 7,386.29/x
  3. Step 3: Cross multiply
    13,673.92x = 18,870 × 7,386.29
  4. Step 4: Simplify right side
    13,673.92x = 139,379,292.30
  5. Step 5: Solve for x
    x = 139,379,292.30/13,673.92
  6. Step 6: Final answer
    x = 10,193.08

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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.