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Finding the Fourth Proportional to 5,821.31, 8,732.10 and 1,661.69

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Solution

The fourth proportional to 5,821.31, 8,732.10 and 1,661.69 is: 2,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.31 : 8,732.10 = 1,661.69 : x
  2. Step 2: Convert to fraction form
    5,821.31/8,732.10 = 1,661.69/x
  3. Step 3: Cross multiply
    5,821.31x = 8,732.10 × 1,661.69
  4. Step 4: Simplify right side
    5,821.31x = 14,510,043.25
  5. Step 5: Solve for x
    x = 14,510,043.25/5,821.31
  6. Step 6: Final answer
    x = 2,492.57

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1.5x scale

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.