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Finding the Fourth Proportional to 10,957.74, 15,106.93 and 7,174.36

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Solution

The fourth proportional to 10,957.74, 15,106.93 and 7,174.36 is: 9,890.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.74 : 15,106.93 = 7,174.36 : x
  2. Step 2: Convert to fraction form
    10,957.74/15,106.93 = 7,174.36/x
  3. Step 3: Cross multiply
    10,957.74x = 15,106.93 × 7,174.36
  4. Step 4: Simplify right side
    10,957.74x = 108,382,554.31
  5. Step 5: Solve for x
    x = 108,382,554.31/10,957.74
  6. Step 6: Final answer
    x = 9,890.96

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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.