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Finding the Fourth Proportional to 5,661, 8,492.46 and 1,764.63

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Solution

The fourth proportional to 5,661, 8,492.46 and 1,764.63 is: 2,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661 : 8,492.46 = 1,764.63 : x
  2. Step 2: Convert to fraction form
    5,661/8,492.46 = 1,764.63/x
  3. Step 3: Cross multiply
    5,661x = 8,492.46 × 1,764.63
  4. Step 4: Simplify right side
    5,661x = 14,986,049.69
  5. Step 5: Solve for x
    x = 14,986,049.69/5,661
  6. Step 6: Final answer
    x = 2,647.24

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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.