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Finding the Fourth Proportional to 5,718.22, 7,890.45 and 3,200.46

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Solution

The fourth proportional to 5,718.22, 7,890.45 and 3,200.46 is: 4,416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.22 : 7,890.45 = 3,200.46 : x
  2. Step 2: Convert to fraction form
    5,718.22/7,890.45 = 3,200.46/x
  3. Step 3: Cross multiply
    5,718.22x = 7,890.45 × 3,200.46
  4. Step 4: Simplify right side
    5,718.22x = 25,253,069.61
  5. Step 5: Solve for x
    x = 25,253,069.61/5,718.22
  6. Step 6: Final answer
    x = 4,416.25

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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.