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Finding the Fourth Proportional to 11,554.98, 15,940.23 and 7,574.34

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Solution

The fourth proportional to 11,554.98, 15,940.23 and 7,574.34 is: 10,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,554.98 : 15,940.23 = 7,574.34 : x
  2. Step 2: Convert to fraction form
    11,554.98/15,940.23 = 7,574.34/x
  3. Step 3: Cross multiply
    11,554.98x = 15,940.23 × 7,574.34
  4. Step 4: Simplify right side
    11,554.98x = 120,736,721.70
  5. Step 5: Solve for x
    x = 120,736,721.70/11,554.98
  6. Step 6: Final answer
    x = 10,448.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.