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Finding the Fourth Proportional to 11,563, 15,956.82 and 6,257.70

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Solution

The fourth proportional to 11,563, 15,956.82 and 6,257.70 is: 8,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563 : 15,956.82 = 6,257.70 : x
  2. Step 2: Convert to fraction form
    11,563/15,956.82 = 6,257.70/x
  3. Step 3: Cross multiply
    11,563x = 15,956.82 × 6,257.70
  4. Step 4: Simplify right side
    11,563x = 99,852,992.51
  5. Step 5: Solve for x
    x = 99,852,992.51/11,563
  6. Step 6: Final answer
    x = 8,635.56

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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.