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Finding the Fourth Proportional to 9,271.80, 13,907.70 and 6,811.43

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Solution

The fourth proportional to 9,271.80, 13,907.70 and 6,811.43 is: 10,217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.80 : 13,907.70 = 6,811.43 : x
  2. Step 2: Convert to fraction form
    9,271.80/13,907.70 = 6,811.43/x
  3. Step 3: Cross multiply
    9,271.80x = 13,907.70 × 6,811.43
  4. Step 4: Simplify right side
    9,271.80x = 94,731,255.47
  5. Step 5: Solve for x
    x = 94,731,255.47/9,271.80
  6. Step 6: Final answer
    x = 10,217.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.