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Finding the Fourth Proportional to 7,178.49, 10,754.10 and 3,475.53

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Solution

The fourth proportional to 7,178.49, 10,754.10 and 3,475.53 is: 5,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.49 : 10,754.10 = 3,475.53 : x
  2. Step 2: Convert to fraction form
    7,178.49/10,754.10 = 3,475.53/x
  3. Step 3: Cross multiply
    7,178.49x = 10,754.10 × 3,475.53
  4. Step 4: Simplify right side
    7,178.49x = 37,376,197.17
  5. Step 5: Solve for x
    x = 37,376,197.17/7,178.49
  6. Step 6: Final answer
    x = 5,206.69

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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.