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Finding the Fourth Proportional to 7,136.57, 9,826.11 and 6,480.47

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Solution

The fourth proportional to 7,136.57, 9,826.11 and 6,480.47 is: 8,922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.57 : 9,826.11 = 6,480.47 : x
  2. Step 2: Convert to fraction form
    7,136.57/9,826.11 = 6,480.47/x
  3. Step 3: Cross multiply
    7,136.57x = 9,826.11 × 6,480.47
  4. Step 4: Simplify right side
    7,136.57x = 63,677,835.64
  5. Step 5: Solve for x
    x = 63,677,835.64/7,136.57
  6. Step 6: Final answer
    x = 8,922.75

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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.