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Finding the Fourth Proportional to 11,655.36, 16,059.28 and 7,922.88

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Solution

The fourth proportional to 11,655.36, 16,059.28 and 7,922.88 is: 10,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.36 : 16,059.28 = 7,922.88 : x
  2. Step 2: Convert to fraction form
    11,655.36/16,059.28 = 7,922.88/x
  3. Step 3: Cross multiply
    11,655.36x = 16,059.28 × 7,922.88
  4. Step 4: Simplify right side
    11,655.36x = 127,235,748.33
  5. Step 5: Solve for x
    x = 127,235,748.33/11,655.36
  6. Step 6: Final answer
    x = 10,916.50

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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.