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Finding the Fourth Proportional to 7,894.02, 11,842.11 and 2,698.50

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Solution

The fourth proportional to 7,894.02, 11,842.11 and 2,698.50 is: 4,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.02 : 11,842.11 = 2,698.50 : x
  2. Step 2: Convert to fraction form
    7,894.02/11,842.11 = 2,698.50/x
  3. Step 3: Cross multiply
    7,894.02x = 11,842.11 × 2,698.50
  4. Step 4: Simplify right side
    7,894.02x = 31,955,933.84
  5. Step 5: Solve for x
    x = 31,955,933.84/7,894.02
  6. Step 6: Final answer
    x = 4,048.12

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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.