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Finding the Fourth Proportional to 11,715, 17,574.93 and 4,789.50

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Solution

The fourth proportional to 11,715, 17,574.93 and 4,789.50 is: 7,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715 : 17,574.93 = 4,789.50 : x
  2. Step 2: Convert to fraction form
    11,715/17,574.93 = 4,789.50/x
  3. Step 3: Cross multiply
    11,715x = 17,574.93 × 4,789.50
  4. Step 4: Simplify right side
    11,715x = 84,175,127.24
  5. Step 5: Solve for x
    x = 84,175,127.24/11,715
  6. Step 6: Final answer
    x = 7,185.24

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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.