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Finding the Fourth Proportional to 6,140.88, 9,213.14 and 2,855.93

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Solution

The fourth proportional to 6,140.88, 9,213.14 and 2,855.93 is: 4,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.88 : 9,213.14 = 2,855.93 : x
  2. Step 2: Convert to fraction form
    6,140.88/9,213.14 = 2,855.93/x
  3. Step 3: Cross multiply
    6,140.88x = 9,213.14 × 2,855.93
  4. Step 4: Simplify right side
    6,140.88x = 26,312,043.99
  5. Step 5: Solve for x
    x = 26,312,043.99/6,140.88
  6. Step 6: Final answer
    x = 4,284.74

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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.