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Finding the Fourth Proportional to 3,670.34, 5,064.98 and 1,991.67

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Solution

The fourth proportional to 3,670.34, 5,064.98 and 1,991.67 is: 2,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.34 : 5,064.98 = 1,991.67 : x
  2. Step 2: Convert to fraction form
    3,670.34/5,064.98 = 1,991.67/x
  3. Step 3: Cross multiply
    3,670.34x = 5,064.98 × 1,991.67
  4. Step 4: Simplify right side
    3,670.34x = 10,087,758.76
  5. Step 5: Solve for x
    x = 10,087,758.76/3,670.34
  6. Step 6: Final answer
    x = 2,748.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.