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Finding the Fourth Proportional to 19,505.64, 29,249.82 and 7,185

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Solution

The fourth proportional to 19,505.64, 29,249.82 and 7,185 is: 10,774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,505.64 : 29,249.82 = 7,185 : x
  2. Step 2: Convert to fraction form
    19,505.64/29,249.82 = 7,185/x
  3. Step 3: Cross multiply
    19,505.64x = 29,249.82 × 7,185
  4. Step 4: Simplify right side
    19,505.64x = 210,159,956.70
  5. Step 5: Solve for x
    x = 210,159,956.70/19,505.64
  6. Step 6: Final answer
    x = 10,774.32

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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.