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Finding the Fourth Proportional to 5,718.08, 7,889.83 and 3,200.30

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Solution

The fourth proportional to 5,718.08, 7,889.83 and 3,200.30 is: 4,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.08 : 7,889.83 = 3,200.30 : x
  2. Step 2: Convert to fraction form
    5,718.08/7,889.83 = 3,200.30/x
  3. Step 3: Cross multiply
    5,718.08x = 7,889.83 × 3,200.30
  4. Step 4: Simplify right side
    5,718.08x = 25,249,822.95
  5. Step 5: Solve for x
    x = 25,249,822.95/5,718.08
  6. Step 6: Final answer
    x = 4,415.79

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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.