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Finding the Fourth Proportional to 10,528.52, 14,528.97 and 5,812.70

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Solution

The fourth proportional to 10,528.52, 14,528.97 and 5,812.70 is: 8,021.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528.52 : 14,528.97 = 5,812.70 : x
  2. Step 2: Convert to fraction form
    10,528.52/14,528.97 = 5,812.70/x
  3. Step 3: Cross multiply
    10,528.52x = 14,528.97 × 5,812.70
  4. Step 4: Simplify right side
    10,528.52x = 84,452,471.27
  5. Step 5: Solve for x
    x = 84,452,471.27/10,528.52
  6. Step 6: Final answer
    x = 8,021.31

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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.