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Finding the Fourth Proportional to 11,557.68, 15,950.78 and 7,084.41

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Solution

The fourth proportional to 11,557.68, 15,950.78 and 7,084.41 is: 9,777.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.68 : 15,950.78 = 7,084.41 : x
  2. Step 2: Convert to fraction form
    11,557.68/15,950.78 = 7,084.41/x
  3. Step 3: Cross multiply
    11,557.68x = 15,950.78 × 7,084.41
  4. Step 4: Simplify right side
    11,557.68x = 113,001,829.92
  5. Step 5: Solve for x
    x = 113,001,829.92/11,557.68
  6. Step 6: Final answer
    x = 9,777.21

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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.