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Finding the Fourth Proportional to 9,794.28, 13,506.84 and 6,431.16

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Solution

The fourth proportional to 9,794.28, 13,506.84 and 6,431.16 is: 8,868.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.28 : 13,506.84 = 6,431.16 : x
  2. Step 2: Convert to fraction form
    9,794.28/13,506.84 = 6,431.16/x
  3. Step 3: Cross multiply
    9,794.28x = 13,506.84 × 6,431.16
  4. Step 4: Simplify right side
    9,794.28x = 86,864,649.13
  5. Step 5: Solve for x
    x = 86,864,649.13/9,794.28
  6. Step 6: Final answer
    x = 8,868.92

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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.