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Finding the Fourth Proportional to 9,769.68, 13,482.36 and 5,577.84

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Solution

The fourth proportional to 9,769.68, 13,482.36 and 5,577.84 is: 7,697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.68 : 13,482.36 = 5,577.84 : x
  2. Step 2: Convert to fraction form
    9,769.68/13,482.36 = 5,577.84/x
  3. Step 3: Cross multiply
    9,769.68x = 13,482.36 × 5,577.84
  4. Step 4: Simplify right side
    9,769.68x = 75,202,446.90
  5. Step 5: Solve for x
    x = 75,202,446.90/9,769.68
  6. Step 6: Final answer
    x = 7,697.53

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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.