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Finding the Fourth Proportional to 7,145.16, 10,713.15 and 2,758.74

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Solution

The fourth proportional to 7,145.16, 10,713.15 and 2,758.74 is: 4,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.16 : 10,713.15 = 2,758.74 : x
  2. Step 2: Convert to fraction form
    7,145.16/10,713.15 = 2,758.74/x
  3. Step 3: Cross multiply
    7,145.16x = 10,713.15 × 2,758.74
  4. Step 4: Simplify right side
    7,145.16x = 29,554,795.43
  5. Step 5: Solve for x
    x = 29,554,795.43/7,145.16
  6. Step 6: Final answer
    x = 4,136.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.