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Finding the Fourth Proportional to 9,699.28, 13,385.10 and 5,507.56

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Solution

The fourth proportional to 9,699.28, 13,385.10 and 5,507.56 is: 7,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.28 : 13,385.10 = 5,507.56 : x
  2. Step 2: Convert to fraction form
    9,699.28/13,385.10 = 5,507.56/x
  3. Step 3: Cross multiply
    9,699.28x = 13,385.10 × 5,507.56
  4. Step 4: Simplify right side
    9,699.28x = 73,719,241.36
  5. Step 5: Solve for x
    x = 73,719,241.36/9,699.28
  6. Step 6: Final answer
    x = 7,600.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.