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Finding the Fourth Proportional to 3,170.66, 4,757.00 and 1,527.30

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Solution

The fourth proportional to 3,170.66, 4,757.00 and 1,527.30 is: 2,291.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.66 : 4,757.00 = 1,527.30 : x
  2. Step 2: Convert to fraction form
    3,170.66/4,757.00 = 1,527.30/x
  3. Step 3: Cross multiply
    3,170.66x = 4,757.00 × 1,527.30
  4. Step 4: Simplify right side
    3,170.66x = 7,265,358.46
  5. Step 5: Solve for x
    x = 7,265,358.46/3,170.66
  6. Step 6: Final answer
    x = 2,291.44

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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.