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Finding the Fourth Proportional to 6,286, 9,415.54 and 3,315.06

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Solution

The fourth proportional to 6,286, 9,415.54 and 3,315.06 is: 4,965.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286 : 9,415.54 = 3,315.06 : x
  2. Step 2: Convert to fraction form
    6,286/9,415.54 = 3,315.06/x
  3. Step 3: Cross multiply
    6,286x = 9,415.54 × 3,315.06
  4. Step 4: Simplify right side
    6,286x = 31,213,080.03
  5. Step 5: Solve for x
    x = 31,213,080.03/6,286
  6. Step 6: Final answer
    x = 4,965.49

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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.