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Finding the Fourth Proportional to 9,152.40, 13,702.62 and 6,022.98

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Solution

The fourth proportional to 9,152.40, 13,702.62 and 6,022.98 is: 9,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.40 : 13,702.62 = 6,022.98 : x
  2. Step 2: Convert to fraction form
    9,152.40/13,702.62 = 6,022.98/x
  3. Step 3: Cross multiply
    9,152.40x = 13,702.62 × 6,022.98
  4. Step 4: Simplify right side
    9,152.40x = 82,530,606.21
  5. Step 5: Solve for x
    x = 82,530,606.21/9,152.40
  6. Step 6: Final answer
    x = 9,017.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.