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Finding the Fourth Proportional to 7,891.22, 10,890.21 and 4,533.98

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Solution

The fourth proportional to 7,891.22, 10,890.21 and 4,533.98 is: 6,257.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.22 : 10,890.21 = 4,533.98 : x
  2. Step 2: Convert to fraction form
    7,891.22/10,890.21 = 4,533.98/x
  3. Step 3: Cross multiply
    7,891.22x = 10,890.21 × 4,533.98
  4. Step 4: Simplify right side
    7,891.22x = 49,375,994.34
  5. Step 5: Solve for x
    x = 49,375,994.34/7,891.22
  6. Step 6: Final answer
    x = 6,257.08

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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.