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Finding the Fourth Proportional to 9,702.62, 13,389.57 and 5,453.79

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Solution

The fourth proportional to 9,702.62, 13,389.57 and 5,453.79 is: 7,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.62 : 13,389.57 = 5,453.79 : x
  2. Step 2: Convert to fraction form
    9,702.62/13,389.57 = 5,453.79/x
  3. Step 3: Cross multiply
    9,702.62x = 13,389.57 × 5,453.79
  4. Step 4: Simplify right side
    9,702.62x = 73,023,902.97
  5. Step 5: Solve for x
    x = 73,023,902.97/9,702.62
  6. Step 6: Final answer
    x = 7,526.21

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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.