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Finding the Fourth Proportional to 9,505, 13,116.66 and 5,313.28

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Solution

The fourth proportional to 9,505, 13,116.66 and 5,313.28 is: 7,332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505 : 13,116.66 = 5,313.28 : x
  2. Step 2: Convert to fraction form
    9,505/13,116.66 = 5,313.28/x
  3. Step 3: Cross multiply
    9,505x = 13,116.66 × 5,313.28
  4. Step 4: Simplify right side
    9,505x = 69,692,487.24
  5. Step 5: Solve for x
    x = 69,692,487.24/9,505
  6. Step 6: Final answer
    x = 7,332.19

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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.