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Finding the Fourth Proportional to 9,995, 14,992.50 and 2,699

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Solution

The fourth proportional to 9,995, 14,992.50 and 2,699 is: 4,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995 : 14,992.50 = 2,699 : x
  2. Step 2: Convert to fraction form
    9,995/14,992.50 = 2,699/x
  3. Step 3: Cross multiply
    9,995x = 14,992.50 × 2,699
  4. Step 4: Simplify right side
    9,995x = 40,464,757.50
  5. Step 5: Solve for x
    x = 40,464,757.50/9,995
  6. Step 6: Final answer
    x = 4,048.50

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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.