Home / 11,430-15,757.89-9,769.25

Finding the Fourth Proportional to 11,430, 15,757.89 and 9,769.25

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Solution

The fourth proportional to 11,430, 15,757.89 and 9,769.25 is: 13,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430 : 15,757.89 = 9,769.25 : x
  2. Step 2: Convert to fraction form
    11,430/15,757.89 = 9,769.25/x
  3. Step 3: Cross multiply
    11,430x = 15,757.89 × 9,769.25
  4. Step 4: Simplify right side
    11,430x = 153,942,688.09
  5. Step 5: Solve for x
    x = 153,942,688.09/11,430
  6. Step 6: Final answer
    x = 13,468.30

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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.