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Finding the Fourth Proportional to 10,528.82, 14,528.59 and 5,811.92

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Solution

The fourth proportional to 10,528.82, 14,528.59 and 5,811.92 is: 8,019.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528.82 : 14,528.59 = 5,811.92 : x
  2. Step 2: Convert to fraction form
    10,528.82/14,528.59 = 5,811.92/x
  3. Step 3: Cross multiply
    10,528.82x = 14,528.59 × 5,811.92
  4. Step 4: Simplify right side
    10,528.82x = 84,438,915.62
  5. Step 5: Solve for x
    x = 84,438,915.62/10,528.82
  6. Step 6: Final answer
    x = 8,019.79

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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.