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Finding the Fourth Proportional to 13,300, 18,354 and 7,711.36

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Solution

The fourth proportional to 13,300, 18,354 and 7,711.36 is: 10,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,300 : 18,354 = 7,711.36 : x
  2. Step 2: Convert to fraction form
    13,300/18,354 = 7,711.36/x
  3. Step 3: Cross multiply
    13,300x = 18,354 × 7,711.36
  4. Step 4: Simplify right side
    13,300x = 141,534,301.44
  5. Step 5: Solve for x
    x = 141,534,301.44/13,300
  6. Step 6: Final answer
    x = 10,641.68

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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.