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Finding the Fourth Proportional to 10,015, 15,022.71 and 3,089.50

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Solution

The fourth proportional to 10,015, 15,022.71 and 3,089.50 is: 4,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015 : 15,022.71 = 3,089.50 : x
  2. Step 2: Convert to fraction form
    10,015/15,022.71 = 3,089.50/x
  3. Step 3: Cross multiply
    10,015x = 15,022.71 × 3,089.50
  4. Step 4: Simplify right side
    10,015x = 46,412,647.10
  5. Step 5: Solve for x
    x = 46,412,647.10/10,015
  6. Step 6: Final answer
    x = 4,634.31

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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.