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Finding the Fourth Proportional to 11,878.80, 17,824.32 and 5,309.32

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Solution

The fourth proportional to 11,878.80, 17,824.32 and 5,309.32 is: 7,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.80 : 17,824.32 = 5,309.32 : x
  2. Step 2: Convert to fraction form
    11,878.80/17,824.32 = 5,309.32/x
  3. Step 3: Cross multiply
    11,878.80x = 17,824.32 × 5,309.32
  4. Step 4: Simplify right side
    11,878.80x = 94,635,018.66
  5. Step 5: Solve for x
    x = 94,635,018.66/11,878.80
  6. Step 6: Final answer
    x = 7,966.72

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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.