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Finding the Fourth Proportional to 11,720.30, 17,564.04 and 6,788.61

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Solution

The fourth proportional to 11,720.30, 17,564.04 and 6,788.61 is: 10,173.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.30 : 17,564.04 = 6,788.61 : x
  2. Step 2: Convert to fraction form
    11,720.30/17,564.04 = 6,788.61/x
  3. Step 3: Cross multiply
    11,720.30x = 17,564.04 × 6,788.61
  4. Step 4: Simplify right side
    11,720.30x = 119,235,417.58
  5. Step 5: Solve for x
    x = 119,235,417.58/11,720.30
  6. Step 6: Final answer
    x = 10,173.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.