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Finding the Fourth Proportional to 9,963.81, 13,750.83 and 5,772.06

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Solution

The fourth proportional to 9,963.81, 13,750.83 and 5,772.06 is: 7,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.81 : 13,750.83 = 5,772.06 : x
  2. Step 2: Convert to fraction form
    9,963.81/13,750.83 = 5,772.06/x
  3. Step 3: Cross multiply
    9,963.81x = 13,750.83 × 5,772.06
  4. Step 4: Simplify right side
    9,963.81x = 79,370,615.81
  5. Step 5: Solve for x
    x = 79,370,615.81/9,963.81
  6. Step 6: Final answer
    x = 7,965.89

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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.