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Finding the Fourth Proportional to 10,307, 15,460.62 and 3,381.80

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Solution

The fourth proportional to 10,307, 15,460.62 and 3,381.80 is: 5,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307 : 15,460.62 = 3,381.80 : x
  2. Step 2: Convert to fraction form
    10,307/15,460.62 = 3,381.80/x
  3. Step 3: Cross multiply
    10,307x = 15,460.62 × 3,381.80
  4. Step 4: Simplify right side
    10,307x = 52,284,724.72
  5. Step 5: Solve for x
    x = 52,284,724.72/10,307
  6. Step 6: Final answer
    x = 5,072.74

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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.