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Finding the Fourth Proportional to 13,409.82, 18,513.90 and 12,573

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Solution

The fourth proportional to 13,409.82, 18,513.90 and 12,573 is: 17,358.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.82 : 18,513.90 = 12,573 : x
  2. Step 2: Convert to fraction form
    13,409.82/18,513.90 = 12,573/x
  3. Step 3: Cross multiply
    13,409.82x = 18,513.90 × 12,573
  4. Step 4: Simplify right side
    13,409.82x = 232,775,264.70
  5. Step 5: Solve for x
    x = 232,775,264.70/13,409.82
  6. Step 6: Final answer
    x = 17,358.57

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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.