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Finding the Fourth Proportional to 13,644.90, 18,829.76 and 7,676.57

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Solution

The fourth proportional to 13,644.90, 18,829.76 and 7,676.57 is: 10,593.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.90 : 18,829.76 = 7,676.57 : x
  2. Step 2: Convert to fraction form
    13,644.90/18,829.76 = 7,676.57/x
  3. Step 3: Cross multiply
    13,644.90x = 18,829.76 × 7,676.57
  4. Step 4: Simplify right side
    13,644.90x = 144,547,970.72
  5. Step 5: Solve for x
    x = 144,547,970.72/13,644.90
  6. Step 6: Final answer
    x = 10,593.55

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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.