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Finding the Fourth Proportional to 13,128, 18,117.36 and 7,539.36

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Solution

The fourth proportional to 13,128, 18,117.36 and 7,539.36 is: 10,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,128 : 18,117.36 = 7,539.36 : x
  2. Step 2: Convert to fraction form
    13,128/18,117.36 = 7,539.36/x
  3. Step 3: Cross multiply
    13,128x = 18,117.36 × 7,539.36
  4. Step 4: Simplify right side
    13,128x = 136,593,299.29
  5. Step 5: Solve for x
    x = 136,593,299.29/13,128
  6. Step 6: Final answer
    x = 10,404.73

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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.