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Finding the Fourth Proportional to 3,166.80, 4,750.31 and 1,523.01

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Solution

The fourth proportional to 3,166.80, 4,750.31 and 1,523.01 is: 2,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.80 : 4,750.31 = 1,523.01 : x
  2. Step 2: Convert to fraction form
    3,166.80/4,750.31 = 1,523.01/x
  3. Step 3: Cross multiply
    3,166.80x = 4,750.31 × 1,523.01
  4. Step 4: Simplify right side
    3,166.80x = 7,234,762.02
  5. Step 5: Solve for x
    x = 7,234,762.02/3,166.80
  6. Step 6: Final answer
    x = 2,284.57

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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.