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Finding the Fourth Proportional to 9,228.24, 12,702.92 and 6,986.16

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Solution

The fourth proportional to 9,228.24, 12,702.92 and 6,986.16 is: 9,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.24 : 12,702.92 = 6,986.16 : x
  2. Step 2: Convert to fraction form
    9,228.24/12,702.92 = 6,986.16/x
  3. Step 3: Cross multiply
    9,228.24x = 12,702.92 × 6,986.16
  4. Step 4: Simplify right side
    9,228.24x = 88,744,631.59
  5. Step 5: Solve for x
    x = 88,744,631.59/9,228.24
  6. Step 6: Final answer
    x = 9,616.64

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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.