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Finding the Fourth Proportional to 11,535.40, 15,900.42 and 11,017

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Solution

The fourth proportional to 11,535.40, 15,900.42 and 11,017 is: 15,185.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,535.40 : 15,900.42 = 11,017 : x
  2. Step 2: Convert to fraction form
    11,535.40/15,900.42 = 11,017/x
  3. Step 3: Cross multiply
    11,535.40x = 15,900.42 × 11,017
  4. Step 4: Simplify right side
    11,535.40x = 175,174,927.14
  5. Step 5: Solve for x
    x = 175,174,927.14/11,535.40
  6. Step 6: Final answer
    x = 15,185.86

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Why These Related Problems?

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