Home / 9,500-13,110-5,309.24

Finding the Fourth Proportional to 9,500, 13,110 and 5,309.24

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Solution

The fourth proportional to 9,500, 13,110 and 5,309.24 is: 7,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500 : 13,110 = 5,309.24 : x
  2. Step 2: Convert to fraction form
    9,500/13,110 = 5,309.24/x
  3. Step 3: Cross multiply
    9,500x = 13,110 × 5,309.24
  4. Step 4: Simplify right side
    9,500x = 69,604,136.40
  5. Step 5: Solve for x
    x = 69,604,136.40/9,500
  6. Step 6: Final answer
    x = 7,326.75

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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.