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Finding the Fourth Proportional to 9,500, 13,109.76 and 5,308.28

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Solution

The fourth proportional to 9,500, 13,109.76 and 5,308.28 is: 7,325.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500 : 13,109.76 = 5,308.28 : x
  2. Step 2: Convert to fraction form
    9,500/13,109.76 = 5,308.28/x
  3. Step 3: Cross multiply
    9,500x = 13,109.76 × 5,308.28
  4. Step 4: Simplify right side
    9,500x = 69,590,276.81
  5. Step 5: Solve for x
    x = 69,590,276.81/9,500
  6. Step 6: Final answer
    x = 7,325.29

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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.