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Finding the Fourth Proportional to 5,718.24, 7,890.44 and 3,200.49

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Solution

The fourth proportional to 5,718.24, 7,890.44 and 3,200.49 is: 4,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.24 : 7,890.44 = 3,200.49 : x
  2. Step 2: Convert to fraction form
    5,718.24/7,890.44 = 3,200.49/x
  3. Step 3: Cross multiply
    5,718.24x = 7,890.44 × 3,200.49
  4. Step 4: Simplify right side
    5,718.24x = 25,253,258.31
  5. Step 5: Solve for x
    x = 25,253,258.31/5,718.24
  6. Step 6: Final answer
    x = 4,416.26

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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.