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Finding the Fourth Proportional to 11,465, 17,198.32 and 4,539.50

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Solution

The fourth proportional to 11,465, 17,198.32 and 4,539.50 is: 6,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465 : 17,198.32 = 4,539.50 : x
  2. Step 2: Convert to fraction form
    11,465/17,198.32 = 4,539.50/x
  3. Step 3: Cross multiply
    11,465x = 17,198.32 × 4,539.50
  4. Step 4: Simplify right side
    11,465x = 78,071,773.64
  5. Step 5: Solve for x
    x = 78,071,773.64/11,465
  6. Step 6: Final answer
    x = 6,809.57

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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.