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Finding the Fourth Proportional to 3,315.72, 4,972.53 and 1,754.82

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Solution

The fourth proportional to 3,315.72, 4,972.53 and 1,754.82 is: 2,631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.72 : 4,972.53 = 1,754.82 : x
  2. Step 2: Convert to fraction form
    3,315.72/4,972.53 = 1,754.82/x
  3. Step 3: Cross multiply
    3,315.72x = 4,972.53 × 1,754.82
  4. Step 4: Simplify right side
    3,315.72x = 8,725,895.09
  5. Step 5: Solve for x
    x = 8,725,895.09/3,315.72
  6. Step 6: Final answer
    x = 2,631.67

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Why These Related Problems?

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