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Finding the Fourth Proportional to 9,511.80, 13,099.26 and 9,308.28

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Solution

The fourth proportional to 9,511.80, 13,099.26 and 9,308.28 is: 12,818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.80 : 13,099.26 = 9,308.28 : x
  2. Step 2: Convert to fraction form
    9,511.80/13,099.26 = 9,308.28/x
  3. Step 3: Cross multiply
    9,511.80x = 13,099.26 × 9,308.28
  4. Step 4: Simplify right side
    9,511.80x = 121,931,579.87
  5. Step 5: Solve for x
    x = 121,931,579.87/9,511.80
  6. Step 6: Final answer
    x = 12,818.98

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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.