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Finding the Fourth Proportional to 9,966.12, 13,750.20 and 5,773.56

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Solution

The fourth proportional to 9,966.12, 13,750.20 and 5,773.56 is: 7,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.12 : 13,750.20 = 5,773.56 : x
  2. Step 2: Convert to fraction form
    9,966.12/13,750.20 = 5,773.56/x
  3. Step 3: Cross multiply
    9,966.12x = 13,750.20 × 5,773.56
  4. Step 4: Simplify right side
    9,966.12x = 79,387,604.71
  5. Step 5: Solve for x
    x = 79,387,604.71/9,966.12
  6. Step 6: Final answer
    x = 7,965.75

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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.