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Finding the Fourth Proportional to 11,886.64, 17,809.90 and 7,720.41

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Solution

The fourth proportional to 11,886.64, 17,809.90 and 7,720.41 is: 11,567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.64 : 17,809.90 = 7,720.41 : x
  2. Step 2: Convert to fraction form
    11,886.64/17,809.90 = 7,720.41/x
  3. Step 3: Cross multiply
    11,886.64x = 17,809.90 × 7,720.41
  4. Step 4: Simplify right side
    11,886.64x = 137,499,730.06
  5. Step 5: Solve for x
    x = 137,499,730.06/11,886.64
  6. Step 6: Final answer
    x = 11,567.59

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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.