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Finding the Fourth Proportional to 5,718.25, 7,891.11 and 3,200.32

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Solution

The fourth proportional to 5,718.25, 7,891.11 and 3,200.32 is: 4,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.25 : 7,891.11 = 3,200.32 : x
  2. Step 2: Convert to fraction form
    5,718.25/7,891.11 = 3,200.32/x
  3. Step 3: Cross multiply
    5,718.25x = 7,891.11 × 3,200.32
  4. Step 4: Simplify right side
    5,718.25x = 25,254,077.16
  5. Step 5: Solve for x
    x = 25,254,077.16/5,718.25
  6. Step 6: Final answer
    x = 4,416.40

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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.