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Finding the Fourth Proportional to 5,703.27, 7,869.36 and 3,313.20

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Solution

The fourth proportional to 5,703.27, 7,869.36 and 3,313.20 is: 4,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.27 : 7,869.36 = 3,313.20 : x
  2. Step 2: Convert to fraction form
    5,703.27/7,869.36 = 3,313.20/x
  3. Step 3: Cross multiply
    5,703.27x = 7,869.36 × 3,313.20
  4. Step 4: Simplify right side
    5,703.27x = 26,072,763.55
  5. Step 5: Solve for x
    x = 26,072,763.55/5,703.27
  6. Step 6: Final answer
    x = 4,571.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.