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Finding the Fourth Proportional to 8,510.96, 11,743.35 and 5,153.99

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Solution

The fourth proportional to 8,510.96, 11,743.35 and 5,153.99 is: 7,111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.96 : 11,743.35 = 5,153.99 : x
  2. Step 2: Convert to fraction form
    8,510.96/11,743.35 = 5,153.99/x
  3. Step 3: Cross multiply
    8,510.96x = 11,743.35 × 5,153.99
  4. Step 4: Simplify right side
    8,510.96x = 60,525,049.75
  5. Step 5: Solve for x
    x = 60,525,049.75/8,510.96
  6. Step 6: Final answer
    x = 7,111.43

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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.