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Finding the Fourth Proportional to 6,287.14, 8,676.19 and 3,415.93

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Solution

The fourth proportional to 6,287.14, 8,676.19 and 3,415.93 is: 4,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.14 : 8,676.19 = 3,415.93 : x
  2. Step 2: Convert to fraction form
    6,287.14/8,676.19 = 3,415.93/x
  3. Step 3: Cross multiply
    6,287.14x = 8,676.19 × 3,415.93
  4. Step 4: Simplify right side
    6,287.14x = 29,637,257.71
  5. Step 5: Solve for x
    x = 29,637,257.71/6,287.14
  6. Step 6: Final answer
    x = 4,713.95

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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.