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Finding the Fourth Proportional to 13,717.63, 18,930.33 and 7,430

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Solution

The fourth proportional to 13,717.63, 18,930.33 and 7,430 is: 10,253.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.63 : 18,930.33 = 7,430 : x
  2. Step 2: Convert to fraction form
    13,717.63/18,930.33 = 7,430/x
  3. Step 3: Cross multiply
    13,717.63x = 18,930.33 × 7,430
  4. Step 4: Simplify right side
    13,717.63x = 140,652,351.90
  5. Step 5: Solve for x
    x = 140,652,351.90/13,717.63
  6. Step 6: Final answer
    x = 10,253.40

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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.