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Finding the Fourth Proportional to 6,289.77, 9,429.99 and 3,167.49

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Solution

The fourth proportional to 6,289.77, 9,429.99 and 3,167.49 is: 4,748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.77 : 9,429.99 = 3,167.49 : x
  2. Step 2: Convert to fraction form
    6,289.77/9,429.99 = 3,167.49/x
  3. Step 3: Cross multiply
    6,289.77x = 9,429.99 × 3,167.49
  4. Step 4: Simplify right side
    6,289.77x = 29,869,399.03
  5. Step 5: Solve for x
    x = 29,869,399.03/6,289.77
  6. Step 6: Final answer
    x = 4,748.89

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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.