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Finding the Fourth Proportional to 3,005.88, 4,509.00 and 814.79

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Solution

The fourth proportional to 3,005.88, 4,509.00 and 814.79 is: 1,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.88 : 4,509.00 = 814.79 : x
  2. Step 2: Convert to fraction form
    3,005.88/4,509.00 = 814.79/x
  3. Step 3: Cross multiply
    3,005.88x = 4,509.00 × 814.79
  4. Step 4: Simplify right side
    3,005.88x = 3,673,861.49
  5. Step 5: Solve for x
    x = 3,673,861.49/3,005.88
  6. Step 6: Final answer
    x = 1,222.22

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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.