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Finding the Fourth Proportional to 3,004.72, 4,507.14 and 813.46

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Solution

The fourth proportional to 3,004.72, 4,507.14 and 813.46 is: 1,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.72 : 4,507.14 = 813.46 : x
  2. Step 2: Convert to fraction form
    3,004.72/4,507.14 = 813.46/x
  3. Step 3: Cross multiply
    3,004.72x = 4,507.14 × 813.46
  4. Step 4: Simplify right side
    3,004.72x = 3,666,378.10
  5. Step 5: Solve for x
    x = 3,666,378.10/3,004.72
  6. Step 6: Final answer
    x = 1,220.21

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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.