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Finding the Fourth Proportional to 7,299, 10,072.86 and 3,987

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Solution

The fourth proportional to 7,299, 10,072.86 and 3,987 is: 5,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299 : 10,072.86 = 3,987 : x
  2. Step 2: Convert to fraction form
    7,299/10,072.86 = 3,987/x
  3. Step 3: Cross multiply
    7,299x = 10,072.86 × 3,987
  4. Step 4: Simplify right side
    7,299x = 40,160,492.82
  5. Step 5: Solve for x
    x = 40,160,492.82/7,299
  6. Step 6: Final answer
    x = 5,502.19

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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.