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Finding the Fourth Proportional to 3,073, 4,608.81 and 1,491.67

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Solution

The fourth proportional to 3,073, 4,608.81 and 1,491.67 is: 2,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073 : 4,608.81 = 1,491.67 : x
  2. Step 2: Convert to fraction form
    3,073/4,608.81 = 1,491.67/x
  3. Step 3: Cross multiply
    3,073x = 4,608.81 × 1,491.67
  4. Step 4: Simplify right side
    3,073x = 6,874,823.61
  5. Step 5: Solve for x
    x = 6,874,823.61/3,073
  6. Step 6: Final answer
    x = 2,237.17

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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.