Home / 10,616-15,921.96-10,089.16

Finding the Fourth Proportional to 10,616, 15,921.96 and 10,089.16

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Solution

The fourth proportional to 10,616, 15,921.96 and 10,089.16 is: 15,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616 : 15,921.96 = 10,089.16 : x
  2. Step 2: Convert to fraction form
    10,616/15,921.96 = 10,089.16/x
  3. Step 3: Cross multiply
    10,616x = 15,921.96 × 10,089.16
  4. Step 4: Simplify right side
    10,616x = 160,639,201.95
  5. Step 5: Solve for x
    x = 160,639,201.95/10,616
  6. Step 6: Final answer
    x = 15,131.80

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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.